Find the Domain f(x)=1/(x+2)

Problem

ƒ(x)=1/(x+2)

Solution

1. Identify the restriction for a rational function, which is that the denominator cannot be equal to zero.

2. Set the denominator expression equal to zero to find the excluded value of x

x+2=0

3. Solve for x by subtracting 2 from both sides of the equation.

x=−2

4. Determine the domain by including all real numbers except for the value that makes the denominator zero.

Domain={x|x≠−2}

Final Answer

Domain=(−∞,−2)∪(−2,∞)

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