Question

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

Answer 1

We are given with two functions: f(x) = x + 8 and g(x) = x2 - 6x - 7. In this problem, the value of f(g(2)) is asked. We first substitute g(x) to f(x) resulting to f(x2 - 6x - 7) = x2 - 6x - 7 + 8 = x2 - 6x  + 1. If x is equal to 2, then f(g(2)) = 2^2 - 6*2  + 1 equal to -7.