Question

Find the domain of the function. (Enter your answer using interval notation.)

Answer 1

`(-\infty,-9)\cup(-9,\infty)`

Explanation:

The domain of a rational function is all real numbers except for when the denominator equals 0.

So, to find the domain restrictions, set the denominator to 0 and solve for x.

We have the rational function:

`s(y)=(7y)/(y+9)`

Set the denominator to 0:

`y+9=0`

Subtract 9:

`y\\eq-9`

So, the domain is all real numbers except for -9.

In other words, our domain is all values to the left of negative 9 and to the right of negative 9.

In interval notation, this is:

`(-\infty,-9)\cup(-9,\infty)`

And we're done :)