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