Find the Domain y=3.14/2x+3.14

Problem

y=3.14/(2*x+3.14)

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+3.14=0

3. Isolate the variable x by subtracting 3.14 from both sides.

2*x=−3.14

4. Divide both sides by 2 to solve for x

x=−1.57

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

Final Answer

Domain: *{[x∈ℝ,x≠−1.57]}

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