Question

What is the domain of the function f(x)=x-9/x+8? Write your answer in interval notation.

Answer 1

Answer:
`(-\infty, -8) \cup (-8, \infty)`

Explanation:

I'm assuming you meant
`f(x)=(x-9)/(x+8)`

For this function, we need to make sure the denominator is not equal to 0, because if it was, then the fraction would be undefined.

Thus,
`x+8 \\eq 0 \longrightarrow x \\eq -8`

In interval notation, this is
`(-\infty, -8) \cup (-8, \infty)`