f(x) =$\displaystyle \sqrt {3x} $

g(x) = 1+x+x^2

Pleack check and correct the following composite functions

1) f(g(x)) = $\displaystyle \sqrt {3+3x+3x^2} $ Domain: all real numbers. Is this correct?

2) g(f(x)) = 1+$\displaystyle \sqrt {3x}$+3x Domain: x greater than 0

3) f(f(x)) = f($\displaystyle \sqrt {3x} $) =3^1/2 times (3x)^1/4 I do not know how to type square root of square root. Anyway, is the answer above correct? Domain: all real numbers

4) g(g(x)) = g(1+x+x^2) = 1+(1+x+x^2)+(1+x+x^2)^2 = x^4+2x^3+4x^2+3x+3 Domain: all real numbers.

Thank you very much