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

a.) (-8,2)
b.) (2,-8)
c.) (8,-2)
d.) (-2,8)

Respuesta :

gmany

If (a, b) is on the graph of f(x), then the point (b, a) must be on the graph of the inverse function f^-1(x).

Therefore your answer is d. (-2, 8).

The point must be on the graph of the inverse function [tex]f^{-1}(x)[/tex] is Option (D) (-2,8)

How to locate the points of inverse function in the graph-

Any function, f(x) takes values in the domain of f(x) to the range of f(x).  

The inverse of the function f(x) that is [tex]f^{-1}(x)[/tex] takes values from the range of f(x) to the domain of f(x).

Thus the inverse function [tex]f^{-1}(x)[/tex]  just reverses the x and the y coordinates present in the original function, f(x) thereby reversing the values of domain and range of the function, f(x).  

[tex]f(8) = -2[/tex]  which is located in the graph of f(x)

[tex]f^{-1}(-2) = 8\\[/tex]  due to property of inverse function .

Therefore to locate the point of the inverse function of f(x), we have to just interchange the x-coordinates and y-coordinates of the function.

The point present in the inverse function, [tex]f^{-1}(x)\\[/tex] is Option (D) (-2,8) .

To learn more about inverse function, refer -

https://brainly.com/question/11735394

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