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ISI 2018 #3

Source: ISI 2018 B.Stat / B.Math Entrance Exam

May 13, 2018
isiIndian Statistical Institutefunctioncalculuscontinuous

Problem Statement

Let f:R→Rf:\mathbb{R}\to\mathbb{R} be a continuous function such that for all x∈Rx\in\mathbb{R} and for all t⩾0t\geqslant 0, f(x)=f(etx)f(x)=f(e^tx) Show that ff is a constant function.
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