Find the Domain y=3/7x-6

Problem

y=3/(7*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 expression equal to zero to find the excluded value of x

7*x−6=0

3. Solve for x by adding 6 to both sides of the equation.

7*x=6

4. Divide both sides by 7 to isolate x

x=6/7

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

Final Answer

Domain: *{x|x∈ℝ,x≠6/7}

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