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

 It is currently 23 Oct 2018, 22:43

### 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

# If the function f is defined by f(p) = p^2 + 1/p^2 for all non-zero nu

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50078
If the function f is defined by f(p) = p^2 + 1/p^2 for all non-zero nu  [#permalink]

### Show Tags

01 Oct 2018, 22:54
00:00

Difficulty:

55% (hard)

Question Stats:

60% (01:13) correct 40% (01:48) wrong based on 45 sessions

### HideShow timer Statistics

If the function f is defined by $$f(p) = p^2 + \frac{1}{p^2}$$ for all non-zero numbers p, then $$(f(−\frac{1}{√p}))^2 =$$

(A) $$f(p) + 2$$

(B) $$\frac{2}{f(p^2)}$$

(C) $$(\frac{1}{f(√p)})^2$$

(D) $$1 − (f(√p))^2$$

(E) $$f(p) - 2$$

_________________
Senior Manager
Joined: 18 Jul 2018
Posts: 284
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If the function f is defined by f(p) = p^2 + 1/p^2 for all non-zero nu  [#permalink]

### Show Tags

02 Oct 2018, 00:21
1
Substituting p = $$\frac{-1}{\sqrt{p}}$$ in f(p)=$$p^2$$+$$\frac{1}{p^2}$$

We get, $$(p+\frac{1}{p})^2$$ = f(p)+2.

_________________

When you want something, the whole universe conspires in helping you achieve it.

Intern
Joined: 17 Jul 2018
Posts: 1
Location: India
Schools: ISB '20
GMAT 1: 600 Q41 V32
GPA: 4
Re: If the function f is defined by f(p) = p^2 + 1/p^2 for all non-zero nu  [#permalink]

### Show Tags

02 Oct 2018, 06:03
Well.. here the answer is not given.

When substituted, we get (1+p^2)^2/ p^2
resulting in f(p)+2.
Re: If the function f is defined by f(p) = p^2 + 1/p^2 for all non-zero nu &nbs [#permalink] 02 Oct 2018, 06:03
Display posts from previous: Sort by