Find the Domain g(x)=-4x^2+2

Problem

g(x)=−4*x^2+2

Solution

1. Identify the type of function. The function g(x)=−4*x^2+2 is a polynomial function of degree 2, also known as a quadratic function.

2. Check for restrictions. Polynomial functions do not contain any operations that restrict the input x 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 inputs. Since any real number can be squared and multiplied by a constant, 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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