Question

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

Answer 1

Answer:

-25

Step-by-step explanation:

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

=4(-5)-5

= -20-5

=-25

Answer 2

Answer:

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

Step-by-step 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:

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