Let f(x) = x + 8 and g(x) = x2 - 6x - 7. find f(g(

select one:
a. -7
b. -3
c. 10
d. 33

Option A.

Step-by-step explanation:

The given functions are f(x) = x + 8 and g(x) = x² - 6x - 7

We have to find f[g(2)].

To find f[g(2)] we have to find f[g(x)] first.

f[g(x)] = (x² - 6x - 7) + 8 { we will replace x by the g(x) in the function f(x)]

f[g(x)] = x² - 6x + 1

Now f{g(2)] = 2² - 6(2) + 1

                  = 4 - 12 + 1

                  = 5 - 12

                  = -7

Therefore, f[g(2)] = -7 will be the answer.

Option A is the correct option.

answer

step-by-step explanation: