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

Problem

Let f(x)=2x2−10x+6f(x)=2x^2-10x+6, with x≤kx\leq k. (1) (a) Find the largest value of kk such that f−1(x)f^{-1}(x) exists. (2) (b) For this value of kk: (i) Find f−1(x)f^{-1}(x). (ii) State the domain and range of f−1(x)f^{-1}(x).

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