g(x) = 1+x+x^2
Pleack check and correct the following composite functions
1) f(g(x)) = Domain: all real numbers. Is this correct?
2) g(f(x)) = 1+ +3x Domain: x greater than 0
3) f(f(x)) = f( ) =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