Find the Domain x=2y

Problem

x=2*y

Solution

1. Identify the independent and dependent variables. In the equation x=2*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 2

y=x/2

3. Analyze the resulting function ƒ(x)=1/2*x for any restrictions. A domain restriction occurs if there is a denominator that could be zero, a square root of a negative number, or a logarithm of a non-positive number.

4. Determine that the expression x/2 is a linear polynomial. Polynomials are defined for all real numbers.

5. Conclude that there are no values of x that make the expression undefined.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!