Answer:
(f º g)(2) =-324
Step-by-step explanation:
we are given
[tex]f(x)=-4x^2[/tex]
[tex]g(x)=x^3+1[/tex]
Firstly, we will find f(g(x))
we can replace x as g(x) into f(x)
[tex]f(g(x))=-4(g(x))^2[/tex]
now, we can plug back
[tex]g(x)=x^3+1[/tex]
we get
[tex]f(g(x))=-4(x^3+1)^2[/tex]
now, we can plug x=2
[tex]f(g(2))=-4(2^3+1)^2[/tex]
[tex]f(g(2))=-4(9)^2[/tex]
[tex]f(g(2))=-4\times 81[/tex]
[tex]f(g(2))=-324[/tex]
