Find the Domain y=5/3x+2

Problem

y=5/(3*x+2)

Solution

1. Identify the restriction for a rational function, which is that the denominator cannot be equal to zero.

2. Set the denominator expression equal to zero to find the excluded value of x

3*x+2=0

3. Solve for x by subtracting 2 from both sides.

3*x=−2

4. Divide both sides by 3 to isolate x

x=−2/3

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

Final Answer

Domain: *{x|x∈ℝ,x≠−2/3}

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