Answer:
g(f(x)) = 4x^2 + 8x + 4
Step-by-step explanation:
If f(x) = 2x + 1 and g(x) = x² + 2x + 1, find g(f(x)).
You are asked to find g of f of x.
This means your x value for the equation g(x) is f(x), hence g(f(x)).
g(2x+1)=(2x+1)^2 + 2(2x+1) +1
g(2x+1) = 4x^2 + 4x + 1 +4x + 2 + 1
Combine like terms.
g(2x+1) = 4x^2 + 8x + 4
g(f(x)) = 4x^2 + 8x + 4
