Find the Domain 2x^2-3x-7=-8

Problem

2*x2−3*x−7=−8

Solution

1. Identify the type of expression provided. The expression 2*x2−3*x−7=−8 is a quadratic equation.

2. Determine the constraints on the variable x In a polynomial equation, there are no square roots of negative numbers, no denominators containing variables, and no logarithms.

3. Apply the definition of the domain for polynomial functions. Since the expression consists of a polynomial on both sides of the equality, the variable x can take any real number value.

4. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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