Find the Domain f(x)=x/(x-1)

Problem

ƒ(x)=x/(x−1)

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−1=0

3. Solve for x to determine the value that makes the function undefined.

x=1

4. State the domain as all real numbers except the value found in the previous step. In interval notation, this excludes 1

Final Answer

Domain: *(−∞,1)∪(1,∞)

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