Finding (F o g o h)(x)

Question

Suppose that

 

f(x)= sqrt3x

 

g(x) = x/x-2

 

h(x)= 3sqrt11x 

 

Find (F o g o h)(x)

Answer 1

f(x)=√(3x)

g(x)=x/(x-2)

h(x)=3√(11x)

g(h(x))=h(x)/(h(x)-2)=3√(11x)/(3√(11x)-2)

f(g(h(x)))=√(3×(3√(11x)/(3√(11x)-2))=√(9√(11x)/(3√(11x)-2))