Find the Domain f(x)x^2+6x+12

Problem

ƒ(x)=x2+6*x+12

Solution

1. Identify the type of function provided. The expression x2+6*x+12 is a polynomial function, specifically a quadratic.

2. Determine if there are any restrictions on the input x For polynomial functions, there are no denominators that could be zero and no even-indexed roots (like square roots) that could have negative radicands.

3. Conclude the domain based on the properties of polynomials. Since the function is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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