Surjective function.

If the function f:R→A given by f(x)=ex-e-|x|ex+e|x| is surjectoon then find A.

5 Answers

21
Shubhodip ·

Find the range of f(x) !

262
Aditya Bhutra ·

[0,1)

1
Abhinav Gupta ·

Answer is [0,1/2)

262
Aditya Bhutra ·

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)

1
Abhinav Gupta ·

thanks Aditya

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