Find the Domain y=-7/3x-2

Problem

y=−7/(3*x−2)

Solution

1. Identify the type of function. This is a rational function, which is defined for all real numbers except where the denominator is equal to zero.

2. Set the denominator equal to zero to find the excluded values.

3*x−2=0

3. Solve for x by adding 2 to both sides.

3*x=2

4. Divide both sides by 3 to isolate x

x=2/3

5. State the domain by excluding this value from the set of all real numbers.

Final Answer

Domain: *{x|x∈ℝ,x≠2/3}

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