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8x² - 2x - 1 = 0
8x² - 4x + 2x - 1 = 0
4x (2x - 1) + 1 (2x - 1) = 0
(4x + 1)(2x - 1) = 0
4x + 1 = 0 or 2x - 1 = 0
x = -1/4 0r x = 1/2
Answer:

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.

We have all the informations we need. The value we need are 