Question

The graph of f(x) is shown below.

On a coordinate plane, a straight line has a negative slope and goes through (0, 6) and (3, 0).

If f(x) and its inverse function, f Superscript negative 1 Baseline (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

The line through (0,6) and (3,0) has slope m = (0−6)/(3−0) = −2, so f(x) = −2x + 6.
Intersections with its inverse satisfy f(x) = x, so −2x + 6 = x → 3x = 6 → x = 2.
Thus the intersection is (2, 2).