It is given that h(x)=fog(x) and h(x)=4(x+1)^2.
So it follows:

For option A, f(x)=x+1,g(x)=4x^2
So the value of fog(x) is given by:

So A is incorrect.
For option B, f(x)=(x+1)^2,g(x)=4x^2
So the value of fog(x) is given by:

So B is incorrect.
For option C, f(x)=4x^2,g(x)=x+1
So the value of fog(x) is given by:

So C is correct.