# Let f(x) = x + 8 and g(x) = x^{2} − 6x − 7. Find f(g(2)).

We will be using the concept of composite functions to solve this.

## Answer: If f(x) = x + 8 and g(x) = x^{2} − 6x − 7, then f(g(2)) = -7

Let's solve this step by step.

**Explanation:**

Given that, f(x) = x + 8 and g(x) = x^{2} − 6x − 7

According to composite functions we know that to solve f(g(x)), we have substitute x = g(x) in f(x).

f(g(x)) = (x^{2} − 6x − 7) + 8

f(g(2)) = (2^{2} − 6(2) − 7) + 8

= 4 - 12 - 7 + 8

= -7