Find the Domain f(x)=x^2-8x+12

Problem

ƒ(x)=x2−8*x+12

Solution

1. Identify the type of function. The given expression ƒ(x)=x2−8*x+12 is a polynomial function of degree 2 (a quadratic function).

2. Check for restrictions. Polynomial functions do not contain any operations that restrict the input values, such as division by zero (fractions with variables in the denominator) or taking the square root of a negative number.

3. Determine the set of all possible input values. Since any real number can be squared and multiplied by constants, the function is defined for 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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