20.9k views
1 vote
If x > 2, then (x²-x-6)/(x²-4) = ?

please don't just answer, explain HOW to solve

User Jkarttunen
by
8.0k points

1 Answer

3 votes
Simplify by cancelling common factors from numerator and denominator.
(x² -x -6)/(x² -4) = (x -3)(x +2)/((x -2)(x +2))
= (x -3)/(x -2)

The restriction x > 2 ensures the denominator will not be zero.

____
This could be written as
.. 1 -1/(x -2)
so that you can see it is a reflection of 1/x across the x-axis and a translation 1 unit up and 2 units to the right.
If x > 2, then (x²-x-6)/(x²-4) = ? please don't just answer, explain HOW to solve-example-1
User Tmgirvin
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.