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

Problem

y=(x+1)2

Solution

  1. Identify the type of function. The given expression y=(x+1)2 is a polynomial function (specifically a quadratic function).

  2. Determine if there are any restrictions. Polynomial functions do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

  3. Conclude that the function is defined for all real numbers. Since there are no values of x that make the expression undefined, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)


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