Find the Domain y=2/3x-5

Problem

y=2/(3*x−5)

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−5=0

3. Solve for x by adding 5 to both sides of the equation.

3*x=5

4. Divide both sides by 3 to isolate x

x=5/3

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

Final Answer

Domain: *{x|x∈ℝ,x≠5/3}

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