Question

F(x) = 2x^2 – 3x – 9 g(x) = 4x^2 - 9 Find ( f/g)(x).

Answer 1

Answer:

(f/g)x = (x - 3)/(2x - 3)

Step-by-step explanation:

Try and see if f(x) can be factored.

g(x) = (2x - 3) (2x + 3)

That means that perhaps f(x) has one of these two factors.

(2x   3)(x   3)

You want the 2x and 3 to multiply. The middle term has to be -, so when 2x and 3 multiply likely it is 3 that gives you the minus answer.

(2x + 3)(x - 3) should be the way f(x) factors, and it is.

f(x) / g(x) = (2x + 3) (x - 3)

                 (2x + 3)(2x - 3)

2x + 3 cancels. The answer is

(f/g)x = (x - 3)/(2x - 3)