Question

Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).

Answer 1

If you have double functions, solve the one in the parentheses first.

in f(g(2)), solve g(2) first.

So, substitute 2 in the function.

g(x) = x^2 - 6x - 7

g(2) = 2^2 - 6(2) - 7 = -15

If you substitute -15 in f(g(2)), it becomes f(-15).

f(x) = x + 8

f(-15) = -15 + 8

f(-15) = -7

The answer for f(g(2)) is -7.