Find the Domain -7x-7=112/(x-7)

Problem

−7*x−7=112/(x−7)

Solution

1. Identify the type of equation. This is a rational equation because it contains a variable in the denominator of a fraction.

2. Determine the restriction for the domain. In any rational expression, the denominator cannot be equal to zero because division by zero is undefined.

3. Set the denominator equal to zero to find the excluded value.

x−7=0

4. Solve for x by adding 7 to both sides of the equation.

x=7

5. State the domain. The domain consists of all real numbers except for the value that makes the denominator zero. In interval notation, this excludes 7

Final Answer

Domain:(−∞,7)∪(7,∞)

Want more problems? Check here!