Answer: (f/g)(x) = -4x - 2
D: x ≠ 6/5
Step-by-step explanation:
[tex]\dfrac{f(x)}{g(x)}=\dfrac{-20x^2-14x+12}{5x-6}\\\\\\.\qquad =\dfrac{-2(2x+1)(5x-6)}{5x-6}\\\\\\.\qquad =-2(2x+1)\\\\\\.\qquad =-4x-2[/tex]
[tex]Domain: \text{denominator cannot be equal to zero}\\\\5x-6\neq 0\\\\5x\quad \neq 6\\\\x\quad \neq \dfrac{6}{5}[/tex]
