Find the Domain y=2/3x-2

Problem

y=2/(3*x−2)

Solution

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

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

3*x−2=0

3. Solve for x by adding 2 to both sides of the equation.

3*x=2

4. Divide both sides by 3 to isolate x

x=2/3

5. Determine the domain by excluding this value from the set of all real numbers.

Final Answer

Domain: *{x|x≠2/3}

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