Answer:
(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) = [tex]\frac{3x - 1}{x + 4}[/tex] + 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) [tex]\frac{3x - 1}{x + 4}[/tex] + 4 = 8
[tex]\frac{3x - 1}{x + 4}[/tex] = 4
3x - 1 = 4x + 16
-x - 1 = 16
-x = 17
x = -17
