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)

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.