Question

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fog)(x)?

(3x + 2)(x2 + 1)
0 33²+1+2
(3x + 2)2 + 1
3(x²+1)+2

Answer 1

3(x² + 1) + 2

Explanation:

(f ○ g)(x) = f(g(x))

Substitute x = g(x) into f(x), that is

f(x² + 1) = 3(x² + 1) + 2 ← is the equivalent statement