Answer:
f(g(x)) = x² + 2x +1
Step-by-step explanation:
The given functions are:
f(x) = 4x²
g(x) = x+1
f(x) = 4x²
(fog)(x) = f(g(x))
f(g(x)) = 4(x+1)² [f(x) = x² ]
we know that (a+b)² = a² + b² + 2ab
f(g(x)) = 4(x²+1²+2(x)(1))
f(g(x)) = 4(x² + 1 + 2x )
f(g(x)) = 4x² + 8x +4
