Find the Domain 2x^2+7x+3

Problem

2*x2+7*x+3

Solution

1. Identify the type of function provided. The expression 2*x2+7*x+3 is a polynomial function, specifically a quadratic.

2. Determine if there are any restrictions on the variable x Restrictions typically occur in cases involving division by zero (rational functions) or taking the square root of a negative number (radical functions).

3. Analyze the expression for such restrictions. Since there are no denominators containing x and no radicals, the variable x can be any real number.

4. State the domain in interval notation. For all polynomial functions, the domain is the set of all real numbers.

Final Answer

Domain:(−∞,∞)

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