Find the Domain 6xy+3x=4

Problem

6*x*y+3*x=4

Solution

1. Identify the goal, which is to find the domain of the relation when expressed as a function of x

2. Isolate the term containing y by subtracting 3*x from both sides of the equation.

6*x*y=4−3*x

3. Solve for y by dividing both sides by 6*x

y=(4−3*x)/(6*x)

4. Determine the restriction for the domain by identifying values of x that make the denominator zero.

6*x=0

5. Solve for x to find the excluded value.

x=0

6. State the domain as all real numbers except for the value that causes division by zero.

Final Answer

Domain: *{x|x∈ℝ,x≠0}

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