Find the Domain 2y=3x

Problem

2*y=3*x

Solution

1. Solve for y to express the equation as a function of x

y=3/2*x

2. Identify the type of function. This is a linear function, which is a specific type of polynomial function.

3. Determine if there are any restrictions on the input variable x Polynomial functions do not have denominators containing x or even roots of expressions containing x

4. Conclude that since there are no values of x that would make the expression undefined, the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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