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Question

If f(x)=1+x1−x then which of the following is necessarily true?

A
f-1(x) f(x) = 1
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B
f-1(x) f(x) = -1
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C
f-1(x) = f(x)
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D
f-1(x) - f(x) = 2
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Solution

The correct option is B f-1(x) f(x) = -1

y=1+x1x
Using componendo and dividendo x=y1y+1.f1(x)f(x)=1.


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