Find the Domain f(x)=2x^2-12x+22

Problem

ƒ(x)=2*x2−12*x+22

Solution

1. Identify the type of function provided. The expression 2*x2−12*x+22 is a polynomial function, specifically a quadratic.

2. Determine if there are any restrictions on the input variable x Polynomials do not contain denominators that could be zero or square roots of negative numbers.

3. Conclude that the function is defined for all real numbers because there are no values of x that result in an undefined expression.

4. Express the domain in interval notation, representing the set of all real numbers from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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