Find the Domain y=(x^2-5x)/6

Problem

y=(x2−5*x)/6

Solution

1. Identify the type of function. The given expression is a polynomial function (specifically a quadratic) divided by a constant.

2. Check for restrictions. In a rational function, the domain is restricted only if the denominator can equal zero.

3. Evaluate the denominator. Since the denominator is the constant 6 it can never be zero regardless of the value of x

4. Determine the domain. Because there are no square roots of negative numbers and no division by zero, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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