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Q.

The inverse of the functionf(x)=ex−e−xex+e−x+2 is given by

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a

logex−1x+1−2

b

logex−2x−11/2

c

logex2−x1/2

d

logex−13−x1/2

answer is D.

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Detailed Solution

Let y = f(x)⇒y-2=ex-e-xex+e-xapply compodendo divedendo y-1y-3=2ex2e-x
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The inverse of the functionf(x)=ex−e−xex+e−x+2 is given by