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Q.

If f:1,∞→2,∞ is given by fx=x+1x then f-1x equals

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a

x+x2-42

b

x1+x2

c

x-x2-42

d

1+x2-4

answer is A.

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Detailed Solution

f:1,∞→2,∞            fx=x+1x=yor        x2-yx+1=0or        x=y±y2-42But   given   f:1,∞→2,∞  ∴       x=y+y2-42or       f-1x=x+x2-42
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