Show that f: [−1, 1] → R, given by(x)=x/(x+2) is one – one. Find the inverse of the function f: [−1, 1] → Range f.

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asked Jan 12, 2018 in Mathematics by sforrest072 (157,439 points) 60 409 933

Show that f: [−1, 1] → R, given by(x)=x/(x+2) is one – one. Find the inverse of the function f: [−1, 1] → Range f.

(Hint: For y ∈ Range f, y = (x)=x/(x+2) , for some x in [−1, 1], i.e.x=2y/(1−y))

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answered Jan 12, 2018 by mdsamim (213,225 points) 5 10 15
selected Jan 12, 2018 by sforrest072
 
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