Answer:
[tex]-4x^2+12x-4[/tex]
Step-by-step explanation:
We are told to find g(f(x)). We are given that f(x) is [tex]-2x+3[/tex]. Let's plug that in to find [tex]g(-2x+3)[/tex]:
[tex]g(f(x))=5-(-2x+3)^2=5-(-2x+3)(-2x+3)=5-(4x^2-12x+9)=-4x^2+12x-4[/tex]
Therefore, g(f(x)) is [tex]-4x^2+12x-4[/tex]
