[0,1)
If the function f:R→A given by f(x)=ex-e-|x|ex+e|x| is surjectoon then find A.
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5 Answers
Aditya Bhutra
·2011-12-25 01:22:02
yes, the answer is correct .
case1: x< 0, then f(x)=0 (hence x<0 is unacceptable)
case 2 : x≥0 then f(x)= ex-e-x2ex = 1/2 - 12.e2x
hence range is [0,1/2)