hello everyone, I was solving this TBD question that provides three formulas which starts like this:
- f(x^n)=nx^(n−1)
- f(nx)=nf(x)
- f(g(x))=x^n
I have to find g(x).
I was looking at the solutions and I don’t under stand how you can use the 2nd formula to proceed with this f(x^(n+1)) = (n+1)x^n → f(x^(n+1)) / (n+1) = x^n to f(x^(n+1) / (n+1)) = x^n.
how can (n+1) go inside like that?
