Find the Domain 6x^2+5x-6

Problem

6*x2+5*x−6

Solution

1. Identify the type of function provided. The expression 6*x2+5*x−6 is a polynomial function, specifically a quadratic.

2. Determine the restrictions for the domain. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

3. State the domain in interval notation. Since the function is defined for every possible value of x the domain extends from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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