GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Dec 2019, 06:50 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # For which of following is f(-x) = -f(x)?

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 59728
For which of following is f(-x) = -f(x)?  [#permalink]

### Show Tags 00:00

Difficulty:   35% (medium)

Question Stats: 61% (01:16) correct 39% (01:16) wrong based on 49 sessions

### HideShow timer Statistics

For which of following is $$f(-x) = -f(x)$$?

A. $$\frac{x^3}{x^2 + 1}$$

B. $$x^4 + x^2$$

C. $$x^2(x + x^2)$$

D. $$x^3(x^2 + x)$$

E. $$x^2(x^2 - x^)$$

_________________
GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5484
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: For which of following is f(-x) = -f(x)?  [#permalink]

### Show Tags

Bunuel wrote:
For which of following is $$f(-x) = -f(x)$$?

A. $$\frac{x^3}{x^2 + 1}$$

B. $$x^4 + x^2$$

C. $$x^2(x + x^2)$$

D. $$x^3(x^2 + x)$$

E. $$x^2(x^2 - x^)$$

let x = 1
so at f(-1) = -f(x)
only valid at $$\frac{x^3}{x^2 + 1}$$

IMO A
Target Test Prep Representative V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8701
Location: United States (CA)
Re: For which of following is f(-x) = -f(x)?  [#permalink]

### Show Tags

1
Bunuel wrote:
For which of following is $$f(-x) = -f(x)$$?

A. $$\frac{x^3}{x^2 + 1}$$

B. $$x^4 + x^2$$

C. $$x^2(x + x^2)$$

D. $$x^3(x^2 + x)$$

E. $$x^2(x^2 - x^)$$

For answer choice A, (-x)^3 = -(x^3) and (-x)^2 + 1 = x^2 + 1. Thus, f(-x) = (-x)^3/[(-x)^2 + 1] = -(x^3)/(x^2 + 1) = -f(x). Thus, answer A is correct.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Manager  B
Joined: 27 Oct 2017
Posts: 72
Re: For which of following is f(-x) = -f(x)?  [#permalink]

### Show Tags

Senior Manager  G
Joined: 25 Feb 2019
Posts: 335
Re: For which of following is f(-x) = -f(x)?  [#permalink]

### Show Tags

arorni wrote:

Please put x = -x in given options

and check if you can find expression such that after taking -1 as common you find the same original expression.

Here A satisfy this condition .

then we say f(-x) = -f(x)

please try other options and see if you can take -1 common and find original expression

Posted from my mobile device Re: For which of following is f(-x) = -f(x)?   [#permalink] 22 Mar 2019, 18:48
Display posts from previous: Sort by

# For which of following is f(-x) = -f(x)?  