Could someone point out what I'm doing wrong here please:
From there I know that the function =0 when x=2
So I know that the function is less than 0 when x<2
But this is wrong according to the answers.
or for negative divided by positive,
so you have a few cases to examine.
The numerator is negative for x < 2,
but the denominator is positive for x and x+1 both positive or both negative.
Similarly, the numerator is positive for x > 2
and the denominator is always positive in this case.
Hence we cannot have positive divided by negative for this fraction.