Question

Given f(x) = 3x-4 and g(x)= -2x+7 evaluate. PLEASE HELP.

Answer 1

see the attachments below for the steps :)

The simplified expression is as follows:

d(-3x^2 + 9x - 14)

Answer 2

-21

Explanation:

The given functions are

`f(x)=3x-4`

`g(x)=-2x+7`

We need to find the value of
`(g\circ f)(6)`.

The substitute x=6 in f(x), to find the value f(6).

`f(6)=3(6)-4=18-4=14`

The substitute x=14 in g(x), to find the value g(14).

`g(14)=-2(14)+7=-28+7=-21`

According to the composition of functions,

`(g\circ f)(x)=g(f(x))`

Substitute x=6 in the above formula.

`(g\circ f)(6)=g(f(6))`

`(g\circ f)(6)=g(14)`

`(g\circ f)(6)=-21`

Therefore the value of
`(g\circ f)(6)` is -21.