Question

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 ( ? , ? )

Answer 1

Answer: -4,5 and 5,2

Step-by-step explanation: i used this and got it right.

Answer 2

`(4,-3)` and
`(-2,5)`

Explanation:

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

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

Hence we will have the ordered pairs
`(4,-3)` and
`(-2,5)`

on g.

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

This point must lie on g.