Answer:
[tex]g(f(3))=-25[/tex]
Step-by-step explanation:
We have the two functions: [tex]f(x)=-2x+1[/tex] and [tex]g(x)=4x-5[/tex].
And we want to evaluate [tex]g(f(3))[/tex].
So, let's evaluate f(3) first. Substitute 3 into f(x). This yields:
[tex]f(3)=-2(3)+1[/tex]
Multiply and add:
[tex]f(3)=-6+1=-5[/tex]
So, our expression is now:
[tex]g(f(3))\Rightarrow g(-5)[/tex]
Substitute -5 for g(x):
[tex]g(-5)=4(-5)-5[/tex]
Multiply and subtract:
[tex]g(-5)=-20-5=-25[/tex]
Therefore:
[tex]g(f(3))=-25[/tex]
