I'm searching for a tool which allows me to enter two functions and that returns if they are a transformation of each other and how this transformation looks like. Does it exist?
My example from down below:
Is $ u_1(x) = (\frac{1}{\gamma})x^\gamma$ a transformation of $u_2(x) = \frac{x^\gamma -1}{\gamma}$ ?
And in this case, I know the answer is yes there is a positive linear transformation because $$T(u_1(x)) = u_1(x)-\frac{1}{\gamma} = u_2(x).$$ So the question would be, if there is a tool that gives me this kind of answer.