Find the Domain y=1/x

Problem

y=1/x

Solution

1. Identify the type of function. This is a rational function, which is defined for all real numbers except where the denominator is equal to zero.

2. Set the denominator equal to zero to find the excluded values.

x=0

3. Determine the domain by excluding the value found in the previous step. The function is defined for all x such that x≠0

4. Express the domain in interval notation. The domain consists of all numbers from negative infinity to zero and all numbers from zero to positive infinity.

Final Answer

Domain:(−∞,0)∪(0,∞)

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