Find the Domain x-17=-160/(x+7)

Problem

x−17=(−160)/(x+7)

Solution

1. Identify the expression or equation to analyze for domain restrictions. The domain of an equation consists of all real numbers x for which all terms in the equation are defined.

2. Locate any denominators containing the variable x In this equation, the term (−160)/(x+7) has a denominator of x+7

3. Set the denominator equal to zero to find the values that must be excluded from the domain, as division by zero is undefined.

x+7=0

4. Solve for x to find the restricted value.

x=−7

5. State the domain as all real numbers except for the value that makes the denominator zero.

Final Answer

Domain: *{[x∈ℝ,x≠−7]}

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