EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Functions>WBJEE 2019>Q 8

HARD

WBJEE

IMPORTANT

Earn 100

Let $S, T, U$ be three non-void sets and $f : S \to T, g : T \to U$ be so that $g o f : S \to U$ is surjective. Then,

31.07% studentsanswered this correctly

Important Questions on Functions

EASY

WBJEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Functions>WBJEE 2019>Q 9

The value of

\lim_{x \to 0^{+}} \frac{x}{p} [\frac{q}{x}]

is (where

[\cdot]

represents greatest integer function)

MEDIUM

WBJEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Functions>WBJEE 2018>Q 10

If

f : R \to R

be defined by

f (x) = e^{x}

and

g : R \to R

be defined by

g (x) = x^{2} .

The mapping gof :

R \to R

be defined by

(g o f) (x)

= g [f (x)] \forall x \in R .

Then

EASY

WBJEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Functions>WBJEE 2020>Q 11

Let $f (x) = \sin x + \cos a x$ be a periodic function. Then,

EASY

WBJEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Functions>WBJEE 2019>Q 12

Consider the function

f (x) = \cos x^{2}

. Then

EASY

WBJEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Functions>WBJEE 2019>Q 13

Let $f : X \to Y$ and $A, B$ are non-void subsets of $Y,$ then (where the symbols have their usual interpretation)

EASY

WBJEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Functions>WBJEE 2018>Q 14

Consider the function

y = \log_{a} (x + \sqrt{x^{2} + 1})

a > 0, a \neq 1

. The inverse of the function