Find the Domain y=3/2x-1

Problem

y=3/(2*x−1)

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−1=0

3. Solve for x by adding 1 to both sides.

2*x=1

4. Divide both sides by 2 to isolate x

x=1/2

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

Final Answer

Domain: *{x|x≠1/2}

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