Find the Domain 1x

Problem

ƒ(x)=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 values that must be excluded from the domain.

x=0

3. Determine the domain by excluding the value found in the previous step. The function is defined for all real numbers 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.

(−∞,0)∪(0,∞)

Final Answer

Domain of 1/x={[x∈ℝ,x≠0]}

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