Find the Domain 5/(3x+6)

Problem

Domain of 5/(3*x+6)

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 values of x

3*x+6=0

3. Solve for x by subtracting 6 from both sides.

3*x=−6

4. Divide both sides by 3 to isolate x

x=−2

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

Final Answer

Domain: *{x|x∈ℝ,x≠−2}

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