Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 1 - Relations & Functions>Exercise 2>Q 7

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If $f (x)$ is a function that is odd and even simultaneously, then $f (3) - f (2)$ is equal to

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Important Questions on Relations & Functions

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 1 - Relations & Functions>Exercise 2>Q 8

The function

f : R \to R

defined by

f (x) = (x - 1) (x - 2) (x - 3)

is

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 1 - Relations & Functions>Exercise 2>Q 9

If

f : R^{-} \to [1, \infty)

is defined by

f (x) = x^{2} + 1

, the value of

f^{- 1} (17)

and

f^{- 1} (3)

are respectively.

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 1 - Relations & Functions>Exercise 2>Q 10

If

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

, then the domain of

f^{- 1} (x)

is

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 1 - Relations & Functions>Exercise 2>Q 11

If

f (x) = \frac{2^{x} + 2^{- x}}{2}

, then

f (x + y) \cdot f (x - y)

is equal to

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 1 - Relations & Functions>Exercise 2>Q 12

If

f (x) = \frac{x}{\sqrt{1 + x^{2}}}

, then

(f o f o f) (x)

is

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 1 - Relations & Functions>Exercise 2>Q 13

If

f : R \to R

and

f (x) = a x + \sin x + a

, then

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 1 - Relations & Functions>Exercise 2>Q 14

Let

f : [- 10, 10] \to R,

where

f (x) = \sin x + [\frac{x^{2}}{a}]

and

[\cdot]

denotes the greatest integer function be an odd function. Then set of values of parameter

' a'

is / are

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 1 - Relations & Functions>Exercise 2>Q 15

Number of solution of

\log_{10} x + | x | = 0

is