Question

What is the domain of `f(x) = 5/(x-9)`?

Answer 1

`{x|x!=9}`

Explanation:

The domain is the set of values of `x` for which the function is defined. The function `f(x)=5/(x-9)`, will only be undefined if the denominator is 0. Simply look for the value of `x` that will make the denominator 0.

`x-9=0`
`x=9`

The domain is the set of all real numbers except for 9.
`{x|x!=9}`