jmc

Question

Let f(x) = 2x+1 and g(x) = f(2x) - 3. What is g(g(2))?

Accepted Answer

Note that g(x) = f(2x) - 3 = (2 (2x) + 1) - 3 = 4x - 2. Thus, g(g(2)) = g(4 2 - 2) = g(6) = 4 6 - 2 = 22.