Question

The point ( - 14,12) is on the graph of y = f(x). Find the corresponding point on the graph of y= qe), where gex) = arcus.

The corresponding point on the graph of y = g(x) is
(Simplify your answer. Type an ordered nair

Answer 1

`(-14,4)`

Explanation:

Given

`(-14,12)`
`\to`
`y =f(x)`

`g(x) = (1)/(3)f(x)`

Required

The corresponding point on
`y = g(x)`

`(-14,12)`
`\to`
`y =f(x)` means:

`12 = f(-14)`

or

`f(-14)=12`

`g(x) = (1)/(3)f(x)` is calculated

`g(-14) = (1)/(3) * f(-14)`

`g(-14) = (1)/(3) * 12`

`g(-14) = 4`

So, the corresponding point on
`y = g(x)` is:
`(-14,4)`