Find the Domain y=3/2x+5

Problem

y=3/(2*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 equal to zero to find the excluded value of x

2*x+5=0

3. Solve for x by subtracting 5 from both sides.

2*x=−5

4. Divide both sides by 2 to isolate x

x=−5/2

5. State the domain as all real numbers except for the excluded value.

Final Answer

Domain: *{x|x∈ℝ,x≠−5/2}

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