Question

If f(x) and its inverse function, fx), are both plotted on the same coordinate plane, what is their point of intersection?

Answer 1

Answer: (3, 3)

Step-by-step explanation:

the graphs of $f$ and $f^{-1$ are flipped: if the point $(x, y)$ is on the graph of $f$, then the point $(y, x)$ is on the graph of $f^{-1$.

Any points of intersection will satisfy $(x, y) = (y, x)$. A point that satisfies this property must have the same x and y coordinate. (Think about it.) The only point on $f$ like that is $(3, 3)$, so that is the point of intersection.