Answer
Since inverse functions have ordered pairs with interchanged coordinates, the point $(x,y)$ on the graph of $f$ would be $(y,x)$ on the graph of $f^{-1}$. They are symmetric with respect to the line $y=x$, making $f^{-1}$ a reflection of the graph of $f$ about the line $y=x$.
To see if $g$ is the inverse of $f$, use the graphing utility to draw both functions in the same viewing rectangle, and also draw the line $y=x$. If both graphs seem to be symmetrical about $y=x$, then they are inverses.
Work Step by Step
Keep in mind that the inverse function has interchanged coordinates, so $(x,y)$ would change to $(y,x)$.
