Find the Domain x^2+9x-6

Problem

x2+9*x−6

Solution

1. Identify the type of function provided. The expression x2+9*x−6 is a polynomial function.

2. Determine if there are any restrictions on the input variable x Polynomials do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Conclude that the function is defined for all real numbers because there are no mathematical operations that would result in an undefined value.

4. Express the domain in interval notation, which represents the set of all real numbers from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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