Find the Domain x=7y

Problem

x=7*y

Solution

1. Identify the independent and dependent variables. In the equation x=7*y we typically treat y as a function of x

2. Isolate the variable y by dividing both sides of the equation by 7

y=x/7

3. Analyze the resulting function ƒ(x)=x/7 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/7 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, representing all real numbers from negative infinity to positive infinity.

Final Answer

Domain:(−∞,∞)

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