Alpha Question Bank for Engineering: Mathematics>Chapter 24 - Functions>Exercise-1>Q 197

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The function $f (x) = \log (\frac{1 + \sin x}{1 - \sin x})$ is

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Important Questions on Functions

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Alpha Question Bank for Engineering: Mathematics>Chapter 24 - Functions>Exercise-1>Q 198

The function

f (x) = [x] + \frac{1}{2}, x \notin I

is a/an (where

[.]

denotes greatest integer function)

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Alpha Question Bank for Engineering: Mathematics>Chapter 24 - Functions>Exercise-1>Q 199

The graph of the function

y = f (x)

is symmetrical about the line

x = 2

, then :

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Alpha Question Bank for Engineering: Mathematics>Chapter 24 - Functions>Exercise-1>Q 200

Fundamental period of

f (x) = \sec (\sin x)

is

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Alpha Question Bank for Engineering: Mathematics>Chapter 24 - Functions>Exercise-1>Q 201

If

f (x) = \sin (\sqrt{[a]} x)

(where

[.]

denotes the greatest integer function) has

π

as its fundamental period, then

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Alpha Question Bank for Engineering: Mathematics>Chapter 24 - Functions>Exercise-1>Q 202

The inverse of the function

f (x) = \frac{e^{x} - e^{- x}}{e^{x} + e^{- x}}

is

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Alpha Question Bank for Engineering: Mathematics>Chapter 24 - Functions>Exercise-1>Q 203

If

f : [1, \infty) \to [2, \infty)

is given by

f (x) = x + \frac{1}{x}

, then

f^{- 1} (x)

equals

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Alpha Question Bank for Engineering: Mathematics>Chapter 24 - Functions>Exercise-1>Q 204

If

f : R \to R

is an invertible function such that

f (x)

and

f^{- 1} (x)

are also mirror image to each other about the line

y = - x,

then

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Alpha Question Bank for Engineering: Mathematics>Chapter 24 - Functions>Exercise-1>Q 205

If

f (x) = \frac{a x + b}{c x + d}

, then

(f \circ f) (x) = x

, provided that