Find the Domain -3y=9+x

Problem

−3*y=9+x

Solution

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

y=(9+x)/(−3)

2. Simplify the expression by dividing each term in the numerator by the denominator.

y=−3−1/3*x

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

4. Determine the restrictions. Polynomial functions are defined for all real numbers because there are no denominators containing x and no even roots of negative values.

5. State the domain in interval notation. Since there are no restrictions, the domain is all real numbers.

(−∞,∞)

Final Answer

Domain of −3*y=9+x* is *(−∞,∞)

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