This is from a Mu Alpha Theta Competition I took today.

19. Let f and g be functions such that $\displaystyle f(x)^2=g^{-1}(4x-1)$. What is $\displaystyle f(x)f'(x)g'(f(x)^2)$?

A) Not enough information

B)2

C) $\displaystyle \frac{2}{4x-1}$

D)8x-2

I didn't really know how to approach this, so a little push would be great.