If f(x) = 3x+2 and g(x) = -x^2+1, which expression represents f(g(x))?

Question

A. -x^2+3x+3

B. -3x^2+5

C. -x^2+3x+2

D. -3x^2+3x+3

Answer 1

Plug in the g(x)=-x^2+1 as the new input into the f(x) to get 3(-x^2+1)+2. Simplify to get -3x^2+5.

So B. is the answer