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The points (-3,4) and (5,-2) are on the graph of function f. If function g is the inverse of function f, what pair of points are on function g?

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User Zefiro
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8.3k points

2 Answers

1 vote

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.

answered
User JayJay
by
8.0k points
1 vote
9,-5 if this is correct
answered
User Arnorhs
by
8.2k points

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