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Symbolic Toolbox: transforming a function y(x) to x(y)

조회 수: 17 (최근 30일)
Marco Alfredo Rizzato
Marco Alfredo Rizzato 2015년 7월 9일
답변: Ghada Saleh 2015년 7월 17일
Hello everyone,
I have a function y(x) an need to find x(y) for x>=0.
y(x) is in the form: y(x) = a4*x^4 + a3*x^3 + a1*x
Where a4, a3, and a1 are real factors.
Is it possible to do this with Matlab's Symbolic Toolbox?
Thanks in advance, Marco R.

답변 (1개)

Ghada Saleh
Ghada Saleh 2015년 7월 17일
Hi Marco,
You can inverse your function using functional inverse in Symbolic Math Toolbox. You can also add the constraint as an assumption on 'x'.
The following piece of code might be helpful:
>> syms x a1 a3 a4;
>> assume(x >= 0);
>> y = a4*x^4 + a3*x^3 + a1*x;
>> g = finverse(y, x)
Note that MATLAB will represent the output in terms of 'x' which should represent 'y' in your case. To illustrate, refer to the following example:
>> syms x
>> f(x) = 1/tan(x);
>> g = finverse(f)
g(x) = atan(1/x)
I hope this helps,
Ghada

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