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

1 Answer
Andy Y.
May 28, 2017

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}

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