Final answer:
The pair of points on the inverse function g, given that (-3,4) and (5,-2) are on function f, are (4,-3) and (-2,5), obtained by swapping the x and y coordinates of the original points.
Step-by-step explanation:
To determine which pair of points are on function g, which is the inverse of function f, we swap the x and y coordinates of the given points on function f. The points (-3,4) and (5,-2) are on function f, so the corresponding points on the inverse function g would be (4,-3) and (-2,5), respectively. In the context of functions and their inverses, the dependence of y on x in one function becomes the dependence of x on y in the inverse function. This flipping of coordinates is an essential property of inverse functions and can be visualized by reflecting across the line y = x on a graph.