Range of a Symmetric Function

★ 6/10functions Extrema Substitution algebra inequality Symmetry

Problem

Let $x, y, z \in (0, +\infty)$ with $x^2 + y^2 + z^2 = 1$ . Find the range of

f(x, y, z) = x + y + z - xyz.

Answer

Solution

Difficulty	6/10
Topics	functions, Extrema, Substitution, algebra, inequality, Symmetry

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