in Quantitative Aptitude recategorized by
0 votes
0 votes

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 recategorized by
13.4k points

1 Answer

2 votes
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
selected by
118 points

Related questions

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