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

Answer: (3, 3)
Step-by-step explanation:
the graphs of [tex]f[/tex] and [tex]f^{-1[/tex] are flipped: if the point [tex](x, y)[/tex] is on the graph of [tex]f[/tex], then the point [tex](y, x)[/tex] is on the graph of [tex]f^{-1[/tex].
Any points of intersection will satisfy [tex](x, y) = (y, x)[/tex]. A point that satisfies this property must have the same x and y coordinate. (Think about it.) The only point on [tex]f[/tex] like that is [tex](3, 3)[/tex], so that is the point of intersection.