Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-1>Q 2

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If $f (x)$ is a polynomial function satisfying the condition $f (x) . f (1 / x) = f (x) + f (1 / x)$ and $f (2) = 9$ then-

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Important Questions on Functions

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-1>Q 3

The domain of the function

f (x) = \frac{1}{\log_{10} (1 - x)} + \sqrt{x - 2}

, is-

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-1>Q 4

The domain of

f (x) = \sqrt{\frac{1 - |x|}{2 - |x|}}

, is

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-1>Q 5

Domain to function

\sqrt{\log \{(5 x - x^{2}) / 6\}}

is

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-1>Q 6

If

A = \{- 2, - 1, 0, 1, 2\} & f : A \to Z; f (x) = x^{2} + 1,

then the range of

f

is

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-1>Q 7

The range of the function

f (x) = e^{x} - e^{- x},

is-

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-1>Q 8

The range of the function

f (x) = \frac{1}{\sqrt{4 + 3 \cos x}},

is

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-1>Q 9

Which of the following is an onto function-

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Beta Question Bank for Engineering: Mathematics>Chapter 25 - Functions>EXERCISE-1>Q 10

f : [- 1, 1] \to [- 1, 2], f (x) = x + |x|

, is