Respuesta :

Answer:

[tex](g \circ f)(x)=10x^2-60[/tex]

Answer:[tex]10x^2-60[/tex]

Step-by-step explanation:

[tex](g \circ f)(x)=g(f(x))[/tex]

Replace [tex]f(x)[/tex] with [tex]x^2-6[/tex].

This gives us:

[tex](g \circ f)(x)=g(f(x))[/tex]

[tex](g \circ f)(x)=g(x^2-6)[/tex]

This means to replace the old input variable with new input, [tex](x^2-6)[/tex].

Let's do that:

[tex](g \circ f)(x)=10(x^2-6)[/tex]

They probably want you to distribute:

[tex](g \circ f)(x)=10x^2-60[/tex]

Answer:

10x^2-60

Step-by-step explanation:

(G o F)(x) is the same as g(f(x)). We know that f(x)=x^2-6. So now you have to find g(x^2-6). To solve for that plug in x^2-6 in for x in the original equation for g(x). You get 10(x^2-6) or 10x^2-60