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Q.

Let f:(4,6)→(6,8) be a function defined by f(x) =x+[x2] (where [.] denotes the greatest integer function), then f−1(x) is equal to

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a

x−[x2]

b

−x−2

c

x−2

d

1x+[x2]

answer is C.

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Detailed Solution

Since f:(4,6)→(6,8)⇒ f(x)=x+2 ∴ f−1(x)=x−2 .

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