Thread: Find the range of values of x

Find the range of values of for which

Originally Posted by Punch

Find the range of values of for which |\frac{2x+5}{x^2-4}|≥\frac{1}{5}

Show us what you know. Hint: Can you find any horizontal asymptotes? Vertical asymptotes?

-Dan

So you want to find x so that or

If |x|> 2, then so those are the same as
and

which are, of course, the same as
and

What values of x> 2 or x< -2 satisfy those?

If |x|< 2 then so those are the same as
and
which are the same as
and

What values of x, -2< x< 2, satisfy those?

Multiply out and get it all on one side, you will have a quadratic.