Answer: The required expression for -g(x) is -x+6.
Step-by-step explanation: We are given the following function :
[tex]g(x)=x-6.[/tex]
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
[tex]-g(x)\\\\=-(x-6)\\\\=-x+6.[/tex]
Thus, the required expression for -g(x) is -x+6.
