PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

EASY

Mathematics

IMPORTANT

Earn 100

Find the domains of definition of the following functions :
(a) $f (x) = \sqrt{x - 1} + \sqrt{6 - x}$

Important Questions on Introduction to Mathematical Analysis

MEDIUM

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :
(b)

f (x) = \sqrt{x^{2} - x - 2} + \frac{1}{\sqrt{3 + 2 x - x^{2}}}

EASY

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

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

EASY

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

f (x) = \sqrt{\sin x - 1}

HARD

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

f (x) = \sqrt{\log \frac{5 x - x^{2}}{4}}

EASY

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

f (x) = \log_{x} 5

EASY

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

f (x) = \log \frac{x^{2} - 5 x + 6}{x^{2} + 4 x + 6}

MEDIUM

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

f (x) = \arcsin \frac{x - 3}{2} - \log (4 - x)

;

MEDIUM

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

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