Answer: The required expression for -g(x) is -x+6.
Step-by-step explanation: We are given the following function :
![g(x)=x-6.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/to4ldxfll09qyoiuh00bgfpu4ldf43f3q8.png)
Also, the opposite of g(x) is -g(x).
We are to find the expression for g(x).
According to the given information, we have
![-g(x)\\\\=-(x-6)\\\\=-x+6.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/w5pjhz8womz2i6207pj26qtjp2rm3u2sgv.png)
Thus, the required expression for -g(x) is -x+6.