Find the Domain y=5x^2+3x+8

Problem

y=5*x2+3*x+8

Solution

1. Identify the type of function. The given equation is a polynomial function of degree 2, also known as a quadratic function.

2. Analyze the constraints for the domain. For polynomial functions, there are no denominators that could be zero and no square roots of negative numbers to consider.

3. Determine the set of possible input values. Since the expression is defined for every real number x the domain consists of all real numbers.

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

Final Answer

Domain: *(−∞,∞)

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