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Question

Question: \(f^{- 1}(x)\) is equal to...

f−1(x)f^{- 1}(x) is equal to

A

e

B

13x−5\frac{1}{3x - 5}

C

1

D

None of these

Answer

1

Explanation

Solution

= lim⁡x→0{1+tan⁡x}cot⁡x.sec⁡x⋅1(1+sin⁡x)cosecx⁡=e1⋅1e=1\lim _ { x \rightarrow 0 } \{ 1 + \tan x \} ^ { \cot x . \sec x } \cdot \frac { 1 } { ( 1 + \sin x ) ^ { \operatorname { cosecx } } } = e ^ { 1 } \cdot \frac { 1 } { e } = 1