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

Explanation:

`(f(x))/(g(x))=(-20x^2-14x+12)/(5x-6)\\\\\\.\qquad =(-2(2x+1)(5x-6))/(5x-6)\\\\\\.\qquad =-2(2x+1)\\\\\\.\qquad =-4x-2`

`Domain: \text{denominator cannot be equal to zero}\\\\5x-6\\eq 0\\\\5x\quad \\eq 6\\\\x\quad \\eq (6)/(5)`