consider the function of f(x)=(x-1)^2+2
1.determine the inverse of f(x)
Okay, but that's a different terminology from what I would consider standard. The "inverse of a function", f, is the function $\displaystyle f^{-1}$ such that $\displaystyle f(f^{-1}(x))= x$ for all x in the domain of $\displaystyle f^{-1}$ and $\displaystyle f^{-1}(f(x))= x$ for all x in the domain of f.