Question

Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.

Answer 1

Answer:  (f/g)(x) = -4x - 2

                D: x ≠ 6/5

Step-by-step explanation:

$\dfrac{f(x)}{g(x)}=\dfrac{-20x^2-14x+12}{5x-6}\\\\\\.\qquad =\dfrac{-2(2x+1)(5x-6)}{5x-6}\\\\\\.\qquad =-2(2x+1)\\\\\\.\qquad =-4x-2$

$Domain: \text{denominator cannot be equal to zero}\\\\5x-6\neq 0\\\\5x\quad \neq 6\\\\x\quad \neq \dfrac{6}{5}$