For the function defined on

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

For the function g(x)=1x−2g(x)=\dfrac{1}{x-2} defined on (−∞,2)∪(2,∞)(-\infty,2)\cup(2,\infty), decide whether any local extremum lies in its domain. State your conclusion with justification in one sentence.

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