Answer
Four conditions must be met to determine if two functions are inverse to each other. First, the domain of $f$ must be equal with the range of $g$. Second, the domain of $g$ must be equal with the range of $f$. Third, $f(g(x))=x$ for every $x$-value in the domain of $g$. Lastly, $g(f(x))=x$ for every $x$-value in the domain of $f$.
Work Step by Step
It is important to check each of these four conditions before trying to check if two functions are inverses.
