solve for (f o g o h)(x)

Question

find (f o g o h)(x)

 

 

f(x)= sqrt(7x)       g(x)= (x/(x-3))    and h(x)= 3sqrt(12x) 

Answer 1

h(x) = 3sqr12x, g(x) = x/(x-3)

(goh)(x) = g((h(x)) = 3sqr12x/(3sqr12x - 3)

f(x) = sqr7x

(fogoh)(x) = f(g(h(x))) = sqr(7(3sqr12x/(3sqr12x-3) = sqr(21sqr12x/(3sqr12x -3)