Week 5 Mathematics 1 Questions | Prasnya

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Question type / Difficulty / Years (35)

Which of the following functions are one-one?

Multiple correctAUGUST 03, 2025

AUGUST 03, 2025

Find the domain of

g\circ f

ComprehensionAUGUST 03, 2025

AUGUST 03, 2025

Find the value of

(g\circ f\circ g\circ f)(2)

ComprehensionAUGUST 03, 2025

AUGUST 03, 2025

f(x)=\log(x^2)

g(x)=2\log x

h(x)=(\log x)^2

respectively. Choose the set of correct options.

Single correctMARCH 16, 2025

Choose the set of correct options.

Single correctMARCH 16, 2025

f

be a function whose domain is

[-5,7]

g(x)=|2x+5|

[a,b]

denotes the largest interval which can be a domain for the composition function

(f\circ g)(x)

, then find the value of

a+b

Integer answerMARCH 16, 2025

4m-n=0

, then find the value of

\displaystyle \frac{16^m}{2^n}+\frac{27^n}{9^{6m}}

ComprehensionMARCH 16, 2025

Consider a function

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

g(x)

is the inverse function of

f(x)

, then which of the following option(s) is(are) true?

Multiple correctMARCH 16, 2025

For item (i) in the given composition table, choose the correct matching option.

ComprehensionDECEMBER 01, 2024

DECEMBER 01, 2024

For item (ii) in the given composition table, choose the correct matching option.

ComprehensionDECEMBER 01, 2024

DECEMBER 01, 2024

For item (iii) in the given composition table, choose the correct matching option.

ComprehensionDECEMBER 01, 2024

DECEMBER 01, 2024

For item (iv) in the given composition table, choose the correct matching option.

ComprehensionDECEMBER 01, 2024

DECEMBER 01, 2024

f(x)=x^2

h(x)=x-1

, then which of the following option is/are correct?

Single correctDECEMBER 01, 2024

DECEMBER 01, 2024

Find the domain of the inverse function of

y=x^3-1

Single correctAUGUST 04, 2024

AUGUST 04, 2024

Choose the correct option(s) from the following.

Multiple correctMARCH 24, 2024

Find the smallest value of

a

such that the function

f

is defined for all real numbers.

ComprehensionMARCH 24, 2024

Find the largest value of

a

such that the function

f

is defined for all real numbers and satisfies the horizontal line test.

ComprehensionMARCH 24, 2024

For item (i) in the given composition table, choose the correct matching option.

ComprehensionMARCH 24, 2024

For item (ii) in the given composition table, choose the correct matching option.

ComprehensionMARCH 24, 2024

For item (iii) in the given composition table, choose the correct matching option.

ComprehensionMARCH 24, 2024

For item (iv) in the given composition table, choose the correct matching option.

ComprehensionMARCH 24, 2024

Find the maximum value of

h(x)

ComprehensionDECEMBER 03, 2023

DECEMBER 03, 2023

Consider the functions

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

g(x)=\log(1+x^2)

. Which of the following options is/are true?

Multiple correctDECEMBER 03, 2023

DECEMBER 03, 2023

Which of the following options is/are true?

ComprehensionAUGUST 06, 2023

AUGUST 06, 2023

Define a function

f(x)=\begin{cases}x^2+1, & x<1,\\ x^3, & x\ge1.\end{cases}

Which of the following options is/are true?

Multiple correctAUGUST 06, 2023

AUGUST 06, 2023

Consider the functions

f(x)=\log x^2

g(x)=2x+1

. Which of the following options is/are true?

Multiple correctAUGUST 06, 2023

AUGUST 06, 2023

Which of the following options is/are true?

ComprehensionAPRIL 02, 2023

For what value of

x

does the function

h(x)

64

ComprehensionAPRIL 02, 2023

Which of the following options is/are true?

ComprehensionAPRIL 02, 2023

Which of the following is the graph of the function

f(x)=e^{|x|}

ComprehensionAPRIL 02, 2023

Consider the graph of a function

f(x)

in the interval

[-2,6]

, where a bullet point represents a point included in the line segment and a circle represents a point not included in the line segment. Which of the following options is/are true?

Multiple correctAPRIL 02, 2023

Choose the set of correct options.

Multiple correctNOVEMBER 20, 2022

NOVEMBER 20, 2022

f

be a function whose domain is

[-5,7]

g(x)=|2x+5|

[a,b]\subset\mathbb{R}

denotes the largest interval which can be a domain for the composition function

(f\circ g)(x)

, then find the value of

a+b

Integer answerNOVEMBER 20, 2022

NOVEMBER 20, 2022

Find the maximum value of

g(x)

ComprehensionNOVEMBER 20, 2022

NOVEMBER 20, 2022

Find the maximum value of

h(x)

ComprehensionNOVEMBER 20, 2022

NOVEMBER 20, 2022

Showing 35 questions.