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

3 (x2 + 1) + 2

(3x + 2) 2 + 1

3x2 + 1 + 2

3 (x^2+1) + 2

Step-by-step explanation:

since g (x) is equal to x^2+1 you can substitute x^2+1 for g (x) which will be f (x^2+1). then you can substitute f (x) for 3x+2 and in the end you will get 3 (x^2+1) + 2