Question

If f(x) = 4x ^ 2 and g(x) = x + 1 , find (fg)(x) ).
a. 4x(x)
B. 4x ^ 3 + 4x ^ 2
C. 4(x + 1) ^ 2
D. 4x ^ 2 + 1

Answer 1

Answer:

$\boxed{\sf \ C \ is \ the \ correct \ answer \ ! \ }$

Step-by-step explanation:

fog(x)=f(g(x))

so it comes

$f(g(x))=f(x+1)=4(x+1)^2$

so C is the correct answer

Answer 2

Answer:

Option B

Step-by-step explanation:

$f(x) = 4x^2\\g(x) = x+1$

Multiplying both will give us:

$(fg)(x) = 4x^2(x+1)$

=> $(fg)(x) = 4x^3+4x^2$