Answer:
[tex]x< -7 ; x\geq9[/tex]
Step-by-step explanation:
You start noticing that for x = 9 g(x) =0, and for x= -7 the function isn't defined.
That splits the number lines in 3 areas: x<-7; -7<x<9, and x>9. (notice the strict inequalities since we already discussed the breaking points.
Let's try a point in each interval, namely, since i like the values, -10, 0, 10.
[tex]g(-10) = \frac{-10-9}{-10+7} =\frac{-19}{-3} >0\\g(0) = \frac{0-9}{0+7}=-\frac{9}{7} <0\\g(10) = \frac{10-9}{10+7} = \frac1{17} >0[/tex]
We have all the informations we need. The value we need are [tex]x< -7 ; x\geq9[/tex]
