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1 votes
1 answer
153
ISI2016-DCG-50
The domain of the function $\ln(3x^{2}-4x+5)$ is set of positive real numbers set of real numbers set of negative real numbers set of real numbers larger than $5$
The domain of the function $\ln(3x^{2}-4x+5)$ isset of positive real numbersset of real numbersset of negative real numbersset of real numbers larger than $5$
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0 votes
0 answers
154
ISI2016-DCG-58
Let $y=\left \lfloor x \right \rfloor$ where $\left \lfloor x \right \rfloor$ is greatest integer less than or equal to $x$. Then $y$ is continuous and many-one. $y$ is not differentiable and many-one. $y$ is not differentiable. $y$ is differentiable and many-one.
Let $y=\left \lfloor x \right \rfloor$ where $\left \lfloor x \right \rfloor$ is greatest integer less than or equal to $x$. Then$y$ is continuous and many-one.$y$ is not...
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2 votes
1 answer
155
ISI2017-DCG-3
If $2f(x)-3f(\frac{1}{x})=x^2 \: (x \neq0)$, then $f(2)$ is $\frac{2}{3}$ $ – \frac{3}{2}$ $ – \frac{7}{4}$ $\frac{5}{4}$
If $2f(x)-3f(\frac{1}{x})=x^2 \: (x \neq0)$, then $f(2)$ is$\frac{2}{3}$$ – \frac{3}{2}$$ – \frac{7}{4}$$\frac{5}{4}$
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0 votes
1 answer
156
ISI2017-DCG-6
Let $f(x) = \dfrac{x-1}{x+1}, \: f^{k+1}(x)=f\left(f^k(x)\right)$ for all $k=1, 2, 3, \dots , 99$. Then $f^{100}(10)$ is $1$ $10$ $100$ $101$
Let $f(x) = \dfrac{x-1}{x+1}, \: f^{k+1}(x)=f\left(f^k(x)\right)$ for all $k=1, 2, 3, \dots , 99$. Then $f^{100}(10)$ is$1$$10$$100$$101$
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1 votes
2 answers
157
ISI2017-DCG-30
If $f(x)=e^{5x}$ and $h(x)=f’’(x)+2f’(x)+f(x)+2$ then $h(0)$ equals $38$ $8$ $4$ $0$
If $f(x)=e^{5x}$ and $h(x)=f’’(x)+2f’(x)+f(x)+2$ then $h(0)$ equals$38$$8$$4$$0$
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2 votes
1 answer
158
ISI2018-DCG-9
Let $f(x)=1+x+\dfrac{x^2}{2}+\dfrac{x^3}{3}...+\dfrac{x^{2018}}{2018}.$ Then $f’(1)$ is equal to $0$ $2017$ $2018$ $2019$
Let $f(x)=1+x+\dfrac{x^2}{2}+\dfrac{x^3}{3}...+\dfrac{x^{2018}}{2018}.$ Then $f’(1)$ is equal to $0$$2017$$2018$$2019$
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0 votes
1 answer
159
ISI2018-DCG-28
Let $f(x)=e^{-\big( \frac{1}{x^2-3x+2} \big) };x\in \mathbb{R} \: \: \& x \notin \{1,2\}$. Let $a=\underset{n \to 1^+}{\lim}f(x)$ and $b=\underset{x \to 1^-}{\lim} f(x)$. Then $a=\infty, \: b=0$ $a=0, \: b=\infty$ $a=0, \: b=0$ $a=\infty, \: b=\infty$
Let $f(x)=e^{-\big( \frac{1}{x^2-3x+2} \big) };x\in \mathbb{R} \: \: \& x \notin \{1,2\}$. Let $a=\underset{n \to 1^+}{\lim}f(x)$ and $b=\underset{x \to 1^-}{\lim} f(x)$....
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8 votes
3 answers
160
GATE2010 TF: GA-5
Consider the function $f(x)=\max(7-x,x+3).$ In which range does $f$ take its minimum value$?$ $-6\leq x<-2$ $-2\leq x<2$ $2\leq x<6$ $6\leq x<10$
Consider the function $f(x)=\max(7-x,x+3).$ In which range does $f$ take its minimum value$?$ $-6\leq x<-2$ $-2\leq x<2$ $2\leq x<6$$6\leq x<10$
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0 votes
1 answer
166
Functions and Relations
What is the number of relations S over set {0,1,2,3} such that (x,y) $\epsilon$ S $\Rightarrow x = y$ ? Thanks.
What is the number of relations S over set {0,1,2,3} such that (x,y) $\epsilon$ S $\Rightarrow x = y$ ? Thanks.
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0 votes
1 answer
167
Functions
What Is The Total Number Of Boolean Functions Possible Over N Boolean Variables?
What Is The Total Number Of Boolean Functions Possible Over N Boolean Variables?
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0 votes
0 answers
168
Composition of a relation- Madeeasy 2019
How to take composition of a Relation? here used concept of function but when to go with the transitivity rule concept as mentioned below? Please clarify in general when to use which method
How to take composition of a Relation? here used concept of function but when to go with the transitivity rule concept as mentioned below?Please clarify in general when t...
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0 votes
0 answers
170
Function Pointer question
#include<stdio.h> int main ( ) { int demo ( ); // What is this and what does it do? demo ( ); (*demo) ( ); } int demo ( ) { printf("Morning"); }
#include<stdio.h>int main ( ){ int demo ( ); // What is this and what does it do? demo ( ); (*demo) ( );}int demo ( ){ printf("Morning");}
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1 votes
0 answers
174
Floor and Ceil
Is below always true? $\lceil 2x \rceil=2.\lceil x \rceil$
Is below always true?$\lceil 2x \rceil=2.\lceil x \rceil$
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0 votes
0 answers
176
Function return type
Are these return types valid for a function in C? Would any of these result in error, or simply will be ignored? 1 const void f() 2 extern void f() 3 static void f()
Are these return types valid for a function in C? Would any of these result in error, or simply will be ignored?1 const void f()2 extern void f()3 static void f()
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4 votes
1 answer
178
Zeal Test Series 2019: Set Theory & Algebra - Functions
Let f : A → B be function, where A = {1,2,3,4,5,6} and B = {1,2,3,4,5}. If f(1) = 4 then how many surjective (onto) functions are possible ?
Let f : A → B be function, where A = {1,2,3,4,5,6} and B = {1,2,3,4,5}.If f(1) = 4 then how many surjective (onto) functions are possible ?
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0 votes
1 answer
179
Bijective function
Let R be set of all real numbers, and A = B = R*R A function A-> B is defined by f(a,b) = (a+b,a-b) How to prove it is a bijective function?
Let R be set of all real numbers, and A = B = R*RA function A- B is defined byf(a,b) = (a+b,a-b)How to prove it is a bijective function?
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0 votes
1 answer
180
Function
The function defined for positive integers by $F(1)=1,F(2)=1,F(3)=-1$ and by identities F(2k)=F(k),F(2k+1)=F(k) for $ k>=2.$The sum $F(1)+F(2)+F(3)+...+F(100)$ is________
The function defined for positive integers by $F(1)=1,F(2)=1,F(3)=-1$ and by identities F(2k)=F(k),F(2k+1)=F(k) for $ k>=2.$The sum $F(1)+F(2)+F(3)+...+F(100)$ is________...
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