Can anyone help me, i don't seem to understand.

let f(x)=2x g(x)=x^2+2 and h(x)=-4x+3 how do you find the composite function for. (Fog) and (Gof)

Question

Can anyone help me, i don't seem to understand.  

let f(x)=2x g(x)=x^2+2 and h(x)=-4x+3 how do you  find the composite function for. (Fog) and (Gof)

anonymous · Answer

I'll provide multiple choice answers provided if needed.

anonymous · Answer

$$f(x)=2x$$$$g(x)=x^2+2$$$$f(g[x]) = 2(x^2+2)$$

anonymous · Answer

because you "put" g(x) inside f(x)

anonymous · Answer

So it's 4x^2+2?

usukidoll · Answer

distribute the 2
2(x^2+2)
2(x^2)+(2)(2)

anonymous · Answer

So this question is actually two separate questions one to find the (fog) and (gof) but have the same multiple choices which are:
A. 2x^2+4
B. 4x^2 +2
C. -8x+6
D. -4x^2-5

My guesses for
(Gof) is B
(Fog) is A 
 Is this correct?

usukidoll · Answer

F o g is A we have 2x^2+4
I gotta do G o F one sec

usukidoll · Answer

(2x)^2+2
4x^2+2 is B

usukidoll · Answer

yeah it's right

anonymous · Answer

Ok just making sure, thank you so much!