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Andrews [41]
3 years ago
13

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

Mathematics
1 answer:
Anettt [7]3 years ago
3 0

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

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