Find the Domain y=1x+3

Problem

y=1/(x+3)

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+3=0

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

x=−3

4. Determine the domain by excluding this value from the set of all real numbers.

5. Express the domain in interval notation or set-builder notation.

Final Answer

Domain: *(−∞,−3)∪(−3,∞)

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