Find the Domain y=(x+1)^2-4

Problem

y=(x+1)2−4

Solution

1. Identify the type of function provided. The expression y=(x+1)2−4 is a polynomial function, specifically a quadratic function in vertex form.

2. Determine if there are any restrictions on the input variable x Polynomials do not contain even roots of negative numbers, logarithms of non-positive numbers, or denominators that could equal zero.

3. Conclude that since there are no mathematical operations that restrict the input, the function is defined for all real numbers.

4. Express the domain in interval notation, which represents the set of all real numbers from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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