Find the Domain x=3y

Problem

x=3*y

Solution

1. Identify the independent and dependent variables. In the equation x=3*y we typically solve for y to express it as a function of x

2. Isolate the variable y by dividing both sides of the equation by 3

y=x/3

3. Analyze the resulting function ƒ(x)=x/3 for any restrictions. A domain restriction occurs if there is a denominator that could be zero or a square root of a negative number.

4. Determine that since the expression x/3 is a linear polynomial, it is defined for all real numbers. There are no values of x that make the expression undefined.

5. Express the domain in interval notation, covering all values from negative infinity to positive infinity.

Domain=(−∞,∞)

Final Answer

Domain of *x=3*y⇒(−∞,∞)

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