Find the Domain (x-8)/(x-7)=0

Problem

(x−8)/(x−7)=0

Solution

1. Identify the type of expression. The given equation contains a rational expression, which is defined for all real numbers except those that make the denominator equal to zero.

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

denominator=x−7

3. Solve for x to determine where the expression is undefined.

x−7=0

⇒x=7

4. State the domain by excluding the value found. The domain consists of all real numbers except x=7 In interval notation, this is (−∞,7)∪(7,∞)

Final Answer

Domain: *{x|x∈ℝ,x≠7}

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