Let be a function defined by

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let f:R→Rf:\mathbb{R}\to\mathbb{R} be a function defined by f(x)=e∣x∣−e−xex+e−xf(x)=\frac{e^{|x|}-e^{-x}}{e^x+e^{-x}}. Then f(x)f(x) is (a) One-one function (b) Onto function (c) Neither one-one nor onto function (d) One-one onto function

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