Find the Domain 5x=-3y

Problem

5*x=−3*y

Solution

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

y=−5/3*x

2. Identify the type of function. This is a linear function of the form y=m*x+b

3. Determine if there are any restrictions on the input x Since there are no denominators containing x no square roots of negative numbers, and no logarithms, x can be any real number.

4. State the domain in interval notation. The domain of all linear functions (that are not vertical lines) is all real numbers.

(−∞,∞)

Final Answer

Domain of *5*x=−3*y* is *(−∞,∞)

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