Find the Domain 4/5x=6

Problem

4/(5*x)=6

Solution

1. Identify the variable in the expression and its location. The variable x is located in the denominator of the fraction on the left side of the equation.

2. Determine the restriction for a rational expression. A fraction is undefined when its denominator is equal to zero.

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

5*x=0

4. Solve for x by dividing both sides by 5

x=0

5. State the domain. The domain consists of all real numbers except for the value that makes the denominator zero.

Final Answer

Domain: *{x|x∈ℝ,x≠0}

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