1. Find functions f and g so that f[g(x)]=H(x) where H(x)=(1+x^2)^3

Question

2. For f(x)=4x+1 and g(x)=x^2-2x-4, find (g-f)(x)

3. Determine f(x)=x/x^2-4

4. Determine the domain of f in f(x)=10-sqrt3-x