b) Find f(g(2))

Answer 1

To find f(g(2)), we first need to find g(2) and then plug that result into the function f.

Given:
g(x) = x^2 + 3
f(x) = 2x - 1

First, we find g(2):
g(2) = 2^2 + 3
g(2) = 4 + 3
g(2) = 7

Now plug g(2) into f:
f(g(2)) = f(7)
f(7) = 2(7) - 1
f(7) = 14 - 1
f(7) = 13

Therefore, f(g(2)) = 13.