{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":42447,"title":"Define the operators of  function_handles","description":"Suppose f and g are function_handles, try to define f+g,f-g,f*g and f/g.\r\n     \r\n  e.g. \r\n     if   f = @(x)x and g = @(x)x+1\r\n     then\r\n          f+g = @(x)2*x+1\r\n          f-g = @(x)-1\r\n          f*g = @(x)x*(x+1)\r\n          f/g = @(x)x/(x+1)","description_html":"\u003cp\u003eSuppose f and g are function_handles, try to define f+g,f-g,f*g and f/g.\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ee.g. \r\n   if   f = @(x)x and g = @(x)x+1\r\n   then\r\n        f+g = @(x)2*x+1\r\n        f-g = @(x)-1\r\n        f*g = @(x)x*(x+1)\r\n        f/g = @(x)x/(x+1)\r\n\u003c/pre\u003e","function_template":"function y = fho(f,g,type)\r\n  % 'type' define which operation to be performed\r\n  % for simplicity, 1 represents '+', 2 represents '-', 3 represents '*', 4 represents '/'.\r\n  y = x;\r\nend","test_suite":"%%\r\nf = @(x)x;\r\ng = @(x)x+1;\r\ny = fho(f,g,1)\r\ny_correct = 3;\r\nassert(isequal(y(1),y_correct))\r\n\r\n%%\r\nf = @sqrt;\r\ng = @ceil;\r\ny = fho(f,g,2)\r\ny_correct = -2;\r\nassert(isequal(y(4),y_correct))\r\n\r\n%%\r\nf = @nextpow2;\r\ng = @log10;\r\ny = fho(f,g,3)\r\ny_correct = 4;\r\nassert(isequal(y(10),y_correct))\r\n\r\n%%\r\nf = @floor;\r\ng = @ceil;\r\ny = fho(f,g,4)\r\ny_correct = 0.5;\r\nassert(isequal(y(1.25),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":40597,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":58,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-07-05T14:27:43.000Z","updated_at":"2026-03-31T11:28:04.000Z","published_at":"2015-07-05T15:08:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSuppose f and g are function_handles, try to define f+g,f-g,f*g and f/g.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[e.g. \\n   if   f = @(x)x and g = @(x)x+1\\n   then\\n        f+g = @(x)2*x+1\\n        f-g = @(x)-1\\n        f*g = @(x)x*(x+1)\\n        f/g = @(x)x/(x+1)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":581,"title":"Function composition","description":"Write a function that accepts two function handles f and g and returns the composition h. That is,\r\n\r\nh = (f o g)(x) = f(g(x))\r\n\r\nExample:\r\n\r\n  \u003e\u003e f = @(x)x^2;\r\n  \u003e\u003e g = @(x)x+1;\r\n  \u003e\u003e h = composeFcn(f,g);\r\n  \u003e\u003e h(3)\r\n  ans =\r\n    16\r\n    \r\nbecause (3+1)^2 = 16.","description_html":"\u003cp\u003eWrite a function that accepts two function handles f and g and returns the composition h. That is,\u003c/p\u003e\u003cp\u003eh = (f o g)(x) = f(g(x))\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e\u0026gt;\u0026gt; f = @(x)x^2;\r\n\u0026gt;\u0026gt; g = @(x)x+1;\r\n\u0026gt;\u0026gt; h = composeFcn(f,g);\r\n\u0026gt;\u0026gt; h(3)\r\nans =\r\n  16\r\n\u003c/pre\u003e\u003cp\u003ebecause (3+1)^2 = 16.\u003c/p\u003e","function_template":"function h = composeFcn(f,g)\r\nend","test_suite":"%%\r\nf = @(x)x^2;\r\ng = @(x)x+1;\r\nh = composeFcn(f,g);\r\nassert(isequal(h(3),16));\r\n\r\n%%\r\nf = @round;\r\ng = @sqrt;\r\nh = composeFcn(f,g);\r\nassert(isequal(h(8),3));","published":true,"deleted":false,"likes_count":1,"comments_count":8,"created_by":19,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":261,"test_suite_updated_at":"2017-04-26T13:06:48.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-04-13T18:57:19.000Z","updated_at":"2026-04-02T10:42:01.000Z","published_at":"2012-04-13T19:27:06.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that accepts two function handles f and g and returns the composition h. That is,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eh = (f o g)(x) = f(g(x))\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[\u003e\u003e f = @(x)x^2;\\n\u003e\u003e g = @(x)x+1;\\n\u003e\u003e h = composeFcn(f,g);\\n\u003e\u003e h(3)\\nans =\\n  16]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ebecause (3+1)^2 = 16.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":42447,"title":"Define the operators of  function_handles","description":"Suppose f and g are function_handles, try to define f+g,f-g,f*g and f/g.\r\n     \r\n  e.g. \r\n     if   f = @(x)x and g = @(x)x+1\r\n     then\r\n          f+g = @(x)2*x+1\r\n          f-g = @(x)-1\r\n          f*g = @(x)x*(x+1)\r\n          f/g = @(x)x/(x+1)","description_html":"\u003cp\u003eSuppose f and g are function_handles, try to define f+g,f-g,f*g and f/g.\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ee.g. \r\n   if   f = @(x)x and g = @(x)x+1\r\n   then\r\n        f+g = @(x)2*x+1\r\n        f-g = @(x)-1\r\n        f*g = @(x)x*(x+1)\r\n        f/g = @(x)x/(x+1)\r\n\u003c/pre\u003e","function_template":"function y = fho(f,g,type)\r\n  % 'type' define which operation to be performed\r\n  % for simplicity, 1 represents '+', 2 represents '-', 3 represents '*', 4 represents '/'.\r\n  y = x;\r\nend","test_suite":"%%\r\nf = @(x)x;\r\ng = @(x)x+1;\r\ny = fho(f,g,1)\r\ny_correct = 3;\r\nassert(isequal(y(1),y_correct))\r\n\r\n%%\r\nf = @sqrt;\r\ng = @ceil;\r\ny = fho(f,g,2)\r\ny_correct = -2;\r\nassert(isequal(y(4),y_correct))\r\n\r\n%%\r\nf = @nextpow2;\r\ng = @log10;\r\ny = fho(f,g,3)\r\ny_correct = 4;\r\nassert(isequal(y(10),y_correct))\r\n\r\n%%\r\nf = @floor;\r\ng = @ceil;\r\ny = fho(f,g,4)\r\ny_correct = 0.5;\r\nassert(isequal(y(1.25),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":40597,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":58,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-07-05T14:27:43.000Z","updated_at":"2026-03-31T11:28:04.000Z","published_at":"2015-07-05T15:08:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSuppose f and g are function_handles, try to define f+g,f-g,f*g and f/g.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[e.g. \\n   if   f = @(x)x and g = @(x)x+1\\n   then\\n        f+g = @(x)2*x+1\\n        f-g = @(x)-1\\n        f*g = @(x)x*(x+1)\\n        f/g = @(x)x/(x+1)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":581,"title":"Function composition","description":"Write a function that accepts two function handles f and g and returns the composition h. That is,\r\n\r\nh = (f o g)(x) = f(g(x))\r\n\r\nExample:\r\n\r\n  \u003e\u003e f = @(x)x^2;\r\n  \u003e\u003e g = @(x)x+1;\r\n  \u003e\u003e h = composeFcn(f,g);\r\n  \u003e\u003e h(3)\r\n  ans =\r\n    16\r\n    \r\nbecause (3+1)^2 = 16.","description_html":"\u003cp\u003eWrite a function that accepts two function handles f and g and returns the composition h. That is,\u003c/p\u003e\u003cp\u003eh = (f o g)(x) = f(g(x))\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e\u0026gt;\u0026gt; f = @(x)x^2;\r\n\u0026gt;\u0026gt; g = @(x)x+1;\r\n\u0026gt;\u0026gt; h = composeFcn(f,g);\r\n\u0026gt;\u0026gt; h(3)\r\nans =\r\n  16\r\n\u003c/pre\u003e\u003cp\u003ebecause (3+1)^2 = 16.\u003c/p\u003e","function_template":"function h = composeFcn(f,g)\r\nend","test_suite":"%%\r\nf = @(x)x^2;\r\ng = @(x)x+1;\r\nh = composeFcn(f,g);\r\nassert(isequal(h(3),16));\r\n\r\n%%\r\nf = @round;\r\ng = @sqrt;\r\nh = composeFcn(f,g);\r\nassert(isequal(h(8),3));","published":true,"deleted":false,"likes_count":1,"comments_count":8,"created_by":19,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":261,"test_suite_updated_at":"2017-04-26T13:06:48.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-04-13T18:57:19.000Z","updated_at":"2026-04-02T10:42:01.000Z","published_at":"2012-04-13T19:27:06.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that accepts two function handles f and g and returns the composition h. 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