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Q.

The inverse of the function f(x)=ax−a−xax+a−x

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a

12loga(1−x1+x)

b

12loga(1+x1−x)

c

loga(1+x1−x)

d

loga(1−x1+x)

answer is B.

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Detailed Solution

f(x)=ax−a−xax+a−x=y(say) ⇒1+y1−y=a2x ⇒x=12log(1+y1−y)

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The inverse of the function f(x)=ax−a−xax+a−x