Let be defined by

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

Problem

Let ft:R→Rf_t: \mathbb R \to \mathbb R be defined by ft(x)=tx+5f_t(x)=tx+5, where t∈Rt\in\mathbb R. (i) Determine the value(s) of tt for which ftf_t is a bijection. (ii) For those value(s) of tt, find ft−1(x)f_t^{-1}(x).

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