Question

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

Answer 1

if the point ( 8,-2) is on F(X) that a point ( -2,8) must be on the graph of the inverse fraction F^-1 (x) because the invers of a function is found by inversing the coordinate x and y.

Answer 2

(-2,8)

Explanation:

If a function is f:R→R is defined as

`f =\ {(a,b):a\in R,b\in R\}`

then its inverse is defined as

`f^(-1) = \{(b,a):a\in R,b\in R\}`

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).