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

Problem

y=−3/(7*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 of x

7*x−2=0

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

7*x=2

4. Divide both sides by 7 to isolate x

x=2/7

5. State the domain by excluding the value that makes the denominator zero. The domain consists of all real numbers x such that x≠2/7

Final Answer

Domain: *{x|x∈ℝ,x≠2/7}

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