How do you find the discontinuity of a rational function?

Question

How do you find the discontinuity of a rational function?

1 Answer

Impact of this question

21142 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-08-29T14:54:40

The discontinuities of a rational function can be found by setting its denominator equal to zero and solving it.

Let's look at a simple example. Let us find the discontinuities of $f(x)={x-1}/{x^2-x-6}$ .
By setting the denominator equal to zero,
$x^2-x-6=0$
By factoring it out,
$(x+2)(x-3)=0$
So, we have $x=-2$ and $x=3$ .
Hence, $f$ is discontinuous at $x=-2$ and at $x=3$ .

Would this get you going?

Science

Math

Humanities

... and beyond

How do you find the discontinuity of a rational function?

1 Answer

Related questions

Impact of this question