Answer:
On the other equation, there would need to be the point (2, -9)
Step-by-step explanation:
This is because when we find the inverse equations, it is the same as simply switching the x and y values. So in the ordered pair, we would just change the order.
The point must be on the graph of the inverse function [tex]f^{-1}(x)[/tex] is Option (C) (2,-9)
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(-9) = 2[/tex] which is located in the graph of f(x)
[tex]f^{-1}(2) = -9\\[/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 (C) (2,-9) .
To learn more about inverse function, refer -
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