Question

Let f(x) = x^2-6 and g(x) =10x . Find (g ° f)(x)

Answer 1

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

Answer 2

Answer:

$(g \circ f)(x)=10x^2-60$

Answer:$10x^2-60$

Step-by-step explanation:

$(g \circ f)(x)=g(f(x))$

Replace $f(x)$ with $x^2-6$.

This gives us:

$(g \circ f)(x)=g(f(x))$

$(g \circ f)(x)=g(x^2-6)$

This means to replace the old input variable with new input, $(x^2-6)$.

Let's do that:

$(g \circ f)(x)=10(x^2-6)$

They probably want you to distribute:

$(g \circ f)(x)=10x^2-60$