Let be defined by .

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let f:[0,∞)→Rf:[0,\infty)\to\mathbb R be defined by f(x)=3x2+6x+5f(x)=3x^{2}+6x+5. (i) Show that ff is one–to–one on its domain. (ii) Using part (i), find f−1(y)f^{-1}(y) and state its domain and range.

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