Find the Domain y=-3/2x

Problem

y=−3/(2*x)

Solution

1. Identify the type of function. This is a rational function where the variable x is in the denominator.

2. Determine the restriction for the domain. In a rational expression, the denominator cannot be equal to zero because division by zero is undefined.

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

2*x=0

4. Solve for x

x=0

5. State the domain. The domain consists of all real numbers except x=0

Final Answer

Domain: *{[x∈ℝ,x≠0]}

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