Question

How do you find the domain of `f(x) =(x+4)/(x+2)`?

Answer 1

Domain: `{x|x!=2}`

Explanation:

There are two ways you can impact the domain of a real-valued function. The first is plugging in any `x` value that would cause you to divide by zero. The other is plugging in `x` values that would cause an even root to be negative.

There are no square roots in this problem, but there is a fraction with `x` in the denominator. So we need to find where the denominator is zero.

`x+2=0` whenever `x=-2`

So, the domain is all values of `x` except for `x=-2`. This sentences is often written in mathematical short hand as

`{x|x!=2}`