Question

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

(0,6)
(1.4)
(2, 2)
(3,0)

Answer 1

(2,2)

Explanation:

The graph of a function and that of its inverse should be always symmetric around the line y = x (goes at 45 degrees and crosses the origin of coordinates).

Therefore any intersection of the graphs must lie on the line y = x, which forces the x value of the intersection point to be the same as the y-value.

The only option shown where x and y have the same numerical value is the third listed option : (2,2)