Find the Domain x^2-1

Problem

x2−1

Solution

1. Identify the type of function provided. The expression x2−1 is a polynomial function.

2. Determine if there are any restrictions on the input 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 would result in an undefined expression.

4. Express the domain in interval notation, which represents all values from negative infinity to positive infinity.

Final Answer

Domain:(−∞,∞)

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