Question

If f(x)=2x+1 and g(x)= x² +3 find g(f(x)) and simplify completely.

Answer 1

(4x^2) + (4x) + 4

Explanation:

Let a = f(x) = 2x+1

g(a) = a^2 + 3 = (2x+1)^2 + 3 = 4x^2 + 4x + 4

Answer 2

4x²+ 4x +4

Explanation:

g(f(x)) = (2x + 1)² + 3

= 4x² + 4x + 1 + 3

= 4x²+ 4x +4