g(n) = 3n + 2, f(n) = 2n^2 + 5...find g(f(2))

Question

g(n) = 3n + 2
f(n) = 2n² + 5

 

find g(f(2))

Answer 1

First, you must find f(n) when n = 2:    f(2) = 2×2² + 5 = 2×4 + 5 = 8 + 5 = 13

Now, we must find g(n) when n = f(2) = 13:  3(13) + 2 = 39 + 2 = 41

Therefore, g(f(2)) = 41.