If (8,-2) is on the graph of f(x), which point must be on the graph of the inverse funtion f^-1(x)?

(-2,8)

Step-by-step explanation:

If a function is f:R→R is defined as

then its inverse is defined as

It is given that (8,-2) is on the graph of F(x).

x-coordinate = 8, y-coordinate = -2

Interchange the coordinates to find the point which lies on the inverse function F⁻¹(x).

x-coordinate = -2, y-coordinate = 8

It means (-2,8) must be on the graph of the inverse function F⁻¹(x).