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) =<u> (2x + 3) (x - 3)</u>
(2x + 3)(2x - 3)
2x + 3 cancels. The answer is
(f/g)x = (x - 3)/(2x - 3)
