The function is continuous on but not one–to–one there

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The function h(x)=x2−4h(x)=x^{2}-4 is continuous on [−3,3][-3,3] but not one–to–one there. Determine an interval contained in [−3,3][-3,3] on which hh possesses a continuous inverse, and state that interval.

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