Question

You are given f(x) = x + 3 and g(x) = 2x + 1

find g[g(-3)
find f[g(x)]
find g[f(x)]

Answer 1

Explanation:

f(x) = x + 3

g(x) = 2x + 1

g(g(-3)) = g(-5) = -9

f(g(x) = f(2x + 1) = 2x + 1 + 3 = 2x + 4

g(f(x) = g(x + 3) = 2(x + 3) + 1 = 2x + 7