Find the Domain f(x)=-2x^2-3

Problem

ƒ(x)=−2*x^2−3

Solution

1. Identify the type of function. The given expression ƒ(x)=−2*x^2−3 is a polynomial function of degree 2, also known as a quadratic function.

2. Analyze the constraints for the domain. For a function to be undefined, there must be a division by zero, a square root of a negative number, or a logarithm of a non-positive number.

3. Determine if any constraints apply. Since there are no denominators, radicals, or logarithms in this expression, the variable x can take any real number value.

4. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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