Consider the function given by

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Consider the function

f:\mathbb{R}\to\mathbb{R}

given by

f(x)=e^{2x}+b x

, where

b\in\mathbb{R}

. For which of the following values of

b

is

f

one-one on

\mathbb{R}

? (a)

b=-1

(b)

b=0

(c)

b=-3

(d)

b=-4

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