search
Log In
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
0 votes
360 views

Use the following information for next two questions:

 A function $f(x)$ is said to be even if $f(-x) = f(x)$, and odd if $f(-x) = -f(x)$. Thus, for example, the function given by $f(x)=x^{2}$ is even, while the function given by $f(x)=x^{3}$ is odd. Using this definition, answer the following questions.

The sum of two odd functions 

  1. is always an even function
  2. is always an odd function 
  3. is sometimes odd and sometimes even
  4. may be neither odd nor even
in Quantitative Aptitude 13.4k points 317 2267 2467
recategorized by
360 views

1 Answer

2 votes
 
Best answer
the answer is always an odd function........

let f(x) and g(x) be two odd functions

then h(x) = f(x)+g(x) => h(-x) = -f(x)-g(x) =-(f(x)+g(x)) =-h(x)

which clearly indicates that h(x) is an odd function
118 points 5
selected by

Related questions

0 votes
1 answer
1
310 views
A quadratic function $ƒ(x)$ attains a maximum of $3$ at $x = 1$. The value of the function at $x = 0$ is $1$. What is the value $ƒ(x)$ at $x = 10$? $–119$ $–159$ $–110$ $–180$
asked Jan 17, 2016 in Quantitative Aptitude makhdoom ghaya 7.9k points 242 903 1073 310 views
0 votes
1 answer
2
202 views
Use the following information for next two questions: A function $f(x)$ is said to be even if $f(-x) = f(x)$, and odd if $f(-x) = -f(x)$. Thus, for example, the function given by $f(x)=x^{2}$ is even, while the function given by $f(x)=x^{3}$ is odd. Using this definition, answer the following questions. The function given by $f(x) = |x|^{3}$ even odd neither both
asked Jan 16, 2016 in Quantitative Aptitude makhdoom ghaya 7.9k points 242 903 1073 202 views
0 votes
1 answer
3
149 views
If $y = f(x)$ and $f(x) = (1 - x) / (1 + x)$, which of the following is true? $f(2x) = f(x) – 1$ $x = f(2y) - 1$ $f(1/x) = f(x)$ $x = f(y)$
asked Jan 16, 2016 in Quantitative Aptitude makhdoom ghaya 7.9k points 242 903 1073 149 views
0 votes
0 answers
4
226 views
Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $S_{2}$, the $n$th term defined as the difference between ... $60$ $70$ $80$ Average is not an integer . What is the sum of series $S_{2}$? $10$ $20$ $30$ $40$
asked Jan 19, 2016 in Quantitative Aptitude makhdoom ghaya 7.9k points 242 903 1073 226 views
0 votes
1 answer
5
159 views
Two circles with centres $\text{P}$ and $\text{Q}$ cut each other at two distinct points $\text{A}$ and $\text{B}$. The circles have the same radii and neither $\text{P}$ nor $\text{Q}$ falls within the intersection of the circles. What is the smallest range that includes all ... angle $\text{AQP}$ in degrees? Between $0$ and $90$ Between $0$ and $30$ Between $0$ and $60$ Between $0$ and $75$
asked Jan 17, 2016 in Quantitative Aptitude makhdoom ghaya 7.9k points 242 903 1073 159 views
...