The formula for the operation (f-g)(x) is,
![(f-g)(x)=f(x)-g(x)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ay1urb93v94pb7dqge02v0vfni03tsjau4.png)
Determine the expression for (f-g)(x).
![\begin{gathered} (f-g)(x)=f(x)-g(x) \\ =6x+9-x^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ewyekw4h2yka1tu7ltqss43p9a5bwfy45m.png)
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