Unable to find functional inverse of power function

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for example, I have a function , and the inverse function of x is : or it can be written to
But when I use MATLAB, it throws a warning: Unable to find functional inverse.
code:
syms x theta
f = x^theta;
g = finverse(f, x);

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David Hill
David Hill 2022-3-8
There is an inverse for some theta's but most theta's will produce imaginary results for negative values of x.
syms x
f=x.^3;
g = finverse(f);%this works but other values of theta will not previde a pure inverse function
  1 个评论
Jun Liang
Jun Liang 2022-3-10
thanks, Does this mean that finverse is invalid when imaginary values may appear in the function?

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