Decompose the function

Question

Decompose the function below into u(v(x)). In each part, based on the function v(x) given, find the corresponding u(x) needed to decompose the function

 

y=3+X^5

    6+x^5

 

1) v(x)=    x^5 +3 I got this one right but:

2) u(x)=

I need help on. Thanks

Answer 1

Let  v(x) = x⁵,     u(x) = (3 + x)/(6 + x)

 

Then, u(v(x)) = u(x⁵) = (3 + x⁵)/(6 + x⁵)