functions help

if a function f: R→A given by f(x) = ex-e-|x|ex+e|x| is surjection, find A

9 Answers

1
Che ·

if u post many questions @ a 1 go....plz post ur working also.

it will help u get some gud replies.

1
ajoy abcd ·

Apply comp ,div.....

62
Lokesh Verma ·

The basic question is to find the range...

I suggest that you divide by ex in numerator and deno..

You will be left with \frac{1-e^{-sgn(x)}}{1+e^{sgn(x)}}

sgn(x)=1 or -1 or 0

so theset A will be {(1-1/e)/(1+e), (1-e)/(1+1/e), 0}

341
Hari Shankar ·

@nishant: you are gonna regret that post if it becomes too old to edit :D :D

62
Lokesh Verma ·

Lol.. is it?... It seems that I am still sleeping :D

Cant see any reason to regret yet :|

341
Hari Shankar ·

I am gonna hear a loud smacking sound as your palm touches your forehead.

\frac{e^{|x|}}{e^x} \ne e^{\frac{|x|}{x}}

1
Che ·

lol

koi nahi Sirji.....Badey-badey logon ke sang aisi choti-choti batein hoti rehti hain :P [4][3]

62
Lokesh Verma ·

oh... :D

:D :D

haan

"Bade bade shehron mein aisi chhoti chhoti baatein hoti rehti hai,"

and haan the post is already too old to edit :D

6
AKHIL ·

hehehe:D

no probs

samajh to gaye naa bhaavnaaon ko!!!

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