If fx is defined on domain 01 then f2sinx is defined on

MEDIUM

VITEEE

IMPORTANT

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 2

The domain of the function

\cos^{- 1} \log_{2} (x^{2} + 5 x + 8)

is

HARD

VITEEE

IMPORTANT

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 3

If

f (x) \cdot f (y) = f (x) + f (y) + f (x y) - 2 \forall x, y \in R

and if

f (x)

is not a constant function, then the value of

f (1)

is

MEDIUM

VITEEE

IMPORTANT

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 4

If

f (x)

is of period

3

and

g (x)

is of period

2,

then

F (x) = |\begin{array}{l} f (x) & f (\frac{x}{3}) \\ g (x) & g (\frac{x}{2}) \end{array}|

is of period

MEDIUM

VITEEE

IMPORTANT

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 5

The set of all real numbers

x

for which

\log_{2004} (\log_{2003} (\log_{2002} (\log_{2001} x)))

is defined as

{x ∣ x > c} .

The value of

c

is

MEDIUM

VITEEE

IMPORTANT

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 6

The range of the function

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

is

EASY

VITEEE

IMPORTANT

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

If

f (x)

is a function that is odd and even simultaneously, then

f (3) - f (2)

is equal to

MEDIUM

VITEEE

IMPORTANT

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

MEDIUM

VITEEE

IMPORTANT

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.

If $f (x)$ is defined on domain $[0, 1]$ , then $f (2 \sin x)$ is defined on

Important Questions on Relations & Functions

Learn and Prepare for any exam you want !

If fx is defined on domain 0,1, then f(2sinx) is defined on

Important Questions on Relations & Functions

Learn and Prepare for any exam you want !

If $f (x)$ is defined on domain $[0, 1]$ , then $f (2 \sin x)$ is defined on