Find the Domain y=-3/2x+3

Problem

y=−3/(2*x+3)

Solution

1. Identify the type of function, which is a rational function.

2. Determine the restriction for the domain by setting the denominator equal to zero, as division by zero is undefined.

2*x+3=0

3. Solve for x to find the excluded value.

2*x=−3

x=−3/2

4. 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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