Question

All the parts are in the picture

Answer 1

(a) There will be no solution if x = -4. This is because it would cause the denominator to be 0, which can't happen.

(b) g(x) =
`(3x - 1)/(x + 4)` + 4. The graph would be the same except it would be 4 units higher. The function is the same as the original with an added 4 to go to the y value.

(c)
`(3x - 1)/(x + 4)` + 4 = 8

`(3x - 1)/(x + 4)` = 4

3x - 1 = 4x + 16

-x - 1 = 16

-x = 17

x = -17