Respuesta :
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:
(-2,8)
Step-by-step explanation:
If a function is f:R→R is defined as
[tex]f =\ {(a,b):a\in R,b\in R\}[/tex]
then its inverse is defined as
[tex]f^{-1} = \{(b,a):a\in R,b\in R\}[/tex]
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).