Question

6b.) Hence, or otherwise, evaluate g(f(3))

Answer 1

-25

Explanation:

g(f(3))= g(-5)

=4(-5)-5

= -20-5

=-25

Answer 2

`g(f(3))=-25`

Explanation:

We have the two functions:
`f(x)=-2x+1` and
`g(x)=4x-5`.

And we want to evaluate
`g(f(3))`.

So, let's evaluate f(3) first. Substitute 3 into f(x). This yields:

`f(3)=-2(3)+1`

Multiply and add:

`f(3)=-6+1=-5`

So, our expression is now:

`g(f(3))\Rightarrow g(-5)`

Substitute -5 for g(x):

`g(-5)=4(-5)-5`

Multiply and subtract:

`g(-5)=-20-5=-25`

Therefore:

`g(f(3))=-25`