What is the inverse function of g(x)?

Answer:
B
Step-by-step explanation:
To find an inverse of [tex]y=\frac{-10-7y}{2}[/tex]
Exchange x and y, get [tex]x=\frac{-10-7y}{2}[/tex]
then solve y:
[tex]2x=-10-7y\\-7y=2x+10\\\\y=\frac{2x+10}{-7}[/tex]
Answer is B