Respuesta :

Answer:

16

Step-by-step explanation:

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]

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