in Quantitative Aptitude edited by
188 views
0 votes
0 votes

Let $f(x)= \dfrac{1}{1+x^2}$ and $g(x)=\dfrac{e^{−x}}{1+[x]}$, where $[x]$ is the greatest integer less than or equal to $x$. Then which of the following domain is true?

  1. domain of $(f+g)=R-(-2,-1]$
  2. domain of $(f+g)=R-[-1,0)$
  3. $[\text{range of f}] \cap [\text{range of g}]=\bigg[-2, \dfrac{1}{2} \bigg]$
  4. $[\text{range of f}] \cap [\text{range of g}]= \bigg[- \dfrac{1}{2},\dfrac{1}{2} \bigg]-\{0\}$
  1. Both II and IV
  2. Both I and III
  3. Both I and IV
  4. Both II and III
in Quantitative Aptitude edited by
by
2.4k points
188 views

Please log in or register to answer this question.

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