Respuesta :

The formula for the operation (f-g)(x) is,

[tex](f-g)(x)=f(x)-g(x)[/tex]

Determine the expression for (f-g)(x).

[tex]\begin{gathered} (f-g)(x)=f(x)-g(x) \\ =6x+9-x^2 \end{gathered}[/tex]

The domain of function is possible values of x for which function is defined.

The function 6x + 9 - x^2 is defined for every value of x. So domain of (f - g)(x) is all real number,

[tex]-\infty