Let be a continuous

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let gg be a continuous, strictly decreasing function on [−3,5][-3,5] with g(−3)=7g(-3)=7 and g(5)=2g(5)=2. Explain why g−1g^{-1} is continuous on [2,7][2,7].

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