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Find the Domain y=x^2+4x+7

Problem

y=x2+4*x+7

Solution

  1. Identify the type of function. The given equation y=x2+4*x+7 is a polynomial function, specifically a quadratic function.

  2. Determine if there are any restrictions. For polynomial functions, there are no values of x that would result in division by zero or the square root of a negative number.

  3. Conclude the domain. Since the function is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)


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