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Advanced Math / Nonlinear functions Difficulty: Hard

fx= x + 7 2 + 4

The function f is defined by the given equation. For what value of x does fx reach its minimum?

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Explanation

The correct answer is -7 . For a quadratic function defined by an equation of the form  fx=ax-h2+k, where a , h , and k are constants and a>0, the function reaches its minimum when x = h . In the given function, a = 1 , h = -7 , and k = 4 . Therefore, the value of x for which fx reaches its minimum is -7 .