Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 18

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JEE Advanced

IMPORTANT

Earn 100

The domain of the function $f (x) = \cos^{- 1} (x + [x])$ , where $[]$ denotes the greatest integer function, is

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Important Questions on Relations and Functions

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 19

The domain of the function

$f (x) = \underset{n times}{\underset{⏟}{\log_{2} \log_{2} \dots \log_{2}}} x$ is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 20

The domain of the function

f (x) = \sqrt{x - 3 - 2 \sqrt{x - 4}} - \sqrt{x - 3 + 2 \sqrt{x - 4}}

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 21

The domain of the function

f (x) = \cos [\log (\frac{\sqrt{16 - x^{2}}}{3 - x})]

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 22

The domain of the function

f (x) = \frac{3 + 2 (x + 25)^{- 0.5}}{5 - (x + 25)^{0.5}} + {(x - 5)}^{0.5} + 5 {(x - 3)}^{0.5}

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 23

The domain of the function

f (x) = \sqrt[4]{\log_{3} (\frac{1}{|\cos x|})}

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 24

The domain of the function

f (x) = \log_{3} [- \log_{\frac{1}{2}} (1 + \frac{1}{x^{1 / 5}}) - 1]

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 25

The domain of the function

f (x) = \log_{3} [- {(\log_{3} x)}^{2} + 5 \log_{3} x - 6]

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 26

The domain of the function

f (x) = x^{\frac{1}{\log_{e} x}}

is