Find the Domain f(x)=7/(14-x)

Problem

ƒ(x)=7/(14−x)

Solution

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

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

14−x=0

3. Solve for x by adding x to both sides of the equation.

x=14

4. Determine the domain by excluding the value that makes the denominator zero. The domain consists of all real numbers except x=14

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

Final Answer

Domain: *(−∞,14)∪(14,∞)

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