Question

If f(x) = -4x + 2 and g(x) = sq root X – 8,what is (fºg)(12)?​

Answer 1

Answer:

$(fog)(12)=-6$

Step-by-step explanation:

Recall that the notation: $(fog)(12)$ is the same as: $f(g(12))$ which means the value of the function f when you give it as input the value obtained by evaluating g(12).

Therefore, we need to start finding what g(12) is using the definition :

$g(x)=\sqrt{x-8}$ and evaluating it as x = 12.

$g(x)=\sqrt{x-8}\\g(12)=\sqrt{12-8}\\g(12)=\sqrt{4}\\g(12)=2$

So now we use this answer "2" as input for f(x):

$f(x)=-4x+2\\f(2)=-4(2)+2\\f(2)=-8+2\\f(2)=-6$

Therefore, $(fog)(12)=-6$