Final answer:
The point (-2,5) will be in the inverse function f^{-1}(x) if the point (5,-2) is in the function f(x) because the coordinates are swapped in the inverse.
Step-by-step explanation:
The question is asking which point will be in the inverse function f-1(x) if the point (5,-2) is in the function f(x). An inverse function essentially swaps the x and y coordinates of points in the original function. Therefore, if (5,-2) is a point on f(x), then (-2,5) must be a point on f^-1(x), because the x-coordinate becomes the y-coordinate and the y-coordinate becomes the x-coordinate in the inverse function.