Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (c)>Q II

EASY

11th Telangana Board

IMPORTANT

Earn 100

Find the value of $c$ if the domain of the real valued function $f (x) = \sqrt{x^{2} - 3 x + 2}$ is given as $R \ (1, c)$ .

50% studentsanswered this correctly

Important Questions on Functions

EASY

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (c)>Q II

Find the value of

b

if the domain of the real valued function

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

is given as

R \ [1, b]

.

EASY

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (c)>Q II

Find the value of

k

if the domain of the real valued function

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

is given as

[- k, k] - \{0\}

MEDIUM

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (c)>Q II

Find the value of

a

if the domain of the real valued function

f (x) = \frac{1}{\sqrt[3]{(x - 2)} \log_{(4 - x)} 10}

is

(- \infty, a) - \{2, 3\}

.

HARD

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (c)>Q II

Find the value of

x

if the domain of the real valued function

f (x) = \sqrt{\frac{4 - x^{2}}{[x] + 2}}

, where

[x]

is the greatest integer function is given as

(- \infty, x) \cup [- 1, 2]

.

MEDIUM

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (c)>Q II

Find the domain of the real valued function

f (x) = \sqrt{\log_{0.3} (x - x^{2})}

EASY

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (c)>Q II

Find the value of

a

if the domain of the real valued function

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

is given by

(a, \infty)

.

MEDIUM

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (c)>Q II

Prove that the real valued function

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

is an even function on

R \ \{0\}

.

EASY

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (c)>Q II

Find the domain and range of the function

f (x) = \frac{\tan π [x]}{1 + \sin π [x] + [x^{2}]}