Question

Let f(x)=x^3+3 and g(x) = 2x^2 + 2x +1. What is g(f(-2))?

Answer 1

9514 1404 393

Answer:

41

Explanation:

g(f(-2)) = g((-2)³ +3) = g(-8+3) = g(-5)

= 2(-5)² +2(-5) +1 = 50 -10 +1

g(f(-2)) = 41

Answer 2

41

Explanation:

This composite function can be easily solved

First solve f(-2)

f(-2)=(-2)³+3

f(-2)=-8+3=-5

Now plug -5 for x in function g(x)

=2(-5)²+2(-5)+1

=50-10+1

=41