Respuesta :
Answer:
[tex](g\circ f)(0)=16[/tex]
Step-by-step explanation:
The given functions are
[tex]f(x)=-3x+4[/tex] and [tex]g(x)=x^2[/tex]
We first find the composition; [tex](g\circ f)(x)[/tex]
[tex](g\circ f)(x)=g(f(x))[/tex]
[tex](g\circ f)(x)=g(-3x+4)[/tex]
[tex](g\circ f)(x)=(-3x+4)^2[/tex]
We now plug in x=0, to obtain;
[tex](g\circ f)(0)=(-3(0)+4)^2[/tex]
[tex](g\circ f)(0)=(4)^2[/tex]
[tex](g\circ f)(0)=16[/tex]