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Type the correct answer in each box. Use numerals instead of words.
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?
Type the point with the lower x-value first.
( ? , ? ) and ( ? , ? )

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kudzordzifrancis

Answer:

[tex](4,-3)[/tex] and [tex](-2,5)[/tex]

Step-by-step explanation:


It was given that the points [tex](-3,4)[/tex] and [tex](5,-2)[/tex] are on the graph of the function [tex]f[/tex].


If [tex]g[/tex] is the inverse function of [tex]f[/tex], then [tex]g[/tex] will take the y-values as inputs and give the x-values as outputs.

Hence we will have the ordered pairs [tex](4,-3)[/tex] and [tex](-2,5)[/tex]

on g.


In other words, f and g are symmetric about the line [tex]y=x[/tex]. This implies that when we reflect the points [tex](-3,4)[/tex] and [tex](5,-2)[/tex] in the line [tex]y=x[/tex] we will obtain [tex](4,-3)[/tex] and [tex](-2,5)[/tex].


This point must lie on g.


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