Answer: The required point is (-4, 7).
Step-by-step explanation: Given that the point (7, -4) lies on the graph of the function [tex]f(x).[/tex]
We are given to find a point that must lie on the graph of the inverse function [tex]f^{-1}(x).[/tex]
We know that
If a point (a, b) lies on the graph of a function [tex]g(x),[/tex] then the point (b, a) must lie on the graph of the function [tex]g^{-1}(x).[/tex]
So, from the given information, we get
the point (-4, 7) must lie on the graph of the inverse function [tex]f^{-1}(x).[/tex]
Thus, the required point is (-4, 7).
