Find the Domain y=1/2x-3

Problem

y=1/(2*x−3)

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

2*x−3=0

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

2*x=3

4. Divide both sides by 2 to isolate x

x=3/2

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

Final Answer

Domain: *{x|x∈ℝ,x≠3/2}

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