Find the Domain g(x)=1-2x^2

Problem

g(x)=1−2*x2

Solution

1. Identify the type of function. The function g(x)=1−2*x2 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, such as division by zero (fractions) or taking the square root of a negative number (even roots).

3. Determine the set of all possible inputs. Since any real number x can be squared and multiplied by a constant without restriction, 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 of *g(x)=(−∞,∞)

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