composite function w/ sqrt:
4(sqrt(2x-1)^2+3(sqrt(2x-1))+5
I can clear the first sqrt but not the second; please help.

Question

composite function w/ sqrt:
4(sqrt(2x-1)^2+3(sqrt(2x-1))+5
I can clear the first sqrt but not the second; please help.

anonymous · Answer

$$h(x)= 4(\sqrt{2x-1})^2+3(\sqrt{2x-1})+5$$
$$g(x)=4x^2+3x+5$$
$$f(x)=\sqrt{2x-1}$$
$$h=gof$$

anonymous · Answer

is this what you are asking

anonymous · Answer

Unfortunately no. I need the new composite function; fog. The answer is supposed to be cleared of all sqrt's. My answer has been 64x^2-18x+10. I got there by flipping poly's across the equals sign, squaring each side and moving terms again to derive an answer. I need verification that this is the correct procedure.

anonymous · Answer

what is the function you gave on top
g(x)
f(x)
gof(x) or what

anonymous · Answer

(fog)(x); f(x)=4x^2-3x+5  g(x)= sqrt(2x-1)

anonymous · Answer

$$4(2x-1)-3(\sqrt{2x-1})+5$$
the 2nd square rot does not have to go away

anonymous · Answer

That's what I thought, but my instructor says it does.

anonymous · Answer

$$8x-3(2x-1)^{1/2}+1$$
thats  the only thing i can do

anonymous · Answer

Thanks. The program rejects that as the correct answer. I'm stumped, but I appreciate your help. By the way, what program are you using to type your math equations?