It is currently 21 Jul 2019, 09:08
My Tests

Close

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
Your Progress

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.

In the function above, for what values of x is g(x) a real n

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 7401
Followers: 125

Kudos [?]: 1449 [0], given: 6611

CAT Tests
In the function above, for what values of x is g(x) a real n [#permalink] New post 14 May 2019, 01:18
Expert's post
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
\(g(x)= (2x−3)^{\frac{1}{4}} + 1\)

In the function above, for what values of x is g(x) a real number?

(A) \(x ≥ 0\)

(B) \(x ≥ \frac{1}{2}\)

(C) \(x ≥ \frac{3}{2}\)

(D) \(x ≥ 2\)

(E) \(x ≥ 3\)
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
MyGuru Representative
User avatar
Affiliations: Partner at MyGuru LLC.
Joined: 13 May 2019
Posts: 117
Location: United States
GMAT 1: 770 Q51 V44
GRE 1: Q169 V168
WE: Education (Education)
Followers: 1

Kudos [?]: 103 [1] , given: 2

Re: In the function above, for what values of x is g(x) a real n [#permalink] New post 14 May 2019, 07:27
1
This post received
KUDOS
Expert's post
First remember that raising a quantity to a fractional exponent is equivalent to taking the radical of the number in the exponent's denominator.

Therefore, we can rewrite the expression as g(x) = ∜(2x-3) + 1

Thus, because taking an even root of any negative results in a non-real or imaginary number, we know that 2x - 3 must be ≥ 0.

Solve the inequality by adding 3 to each side and then dividing by 2 to find that the domain of g(x) is x ≥ 3/2, which is choice C.
_________________

Stefan Maisnier


Director of Online Tutoring, MyGuru
www.myguruedge.com



Sign up today for a free 30-minute online GRE tutoring session!


Like us on Facebook
Watch us on YouTube
Follow us on Twitter
Follow us on Linkedin

Re: In the function above, for what values of x is g(x) a real n   [#permalink] 14 May 2019, 07:27
Display posts from previous: Sort by

In the function above, for what values of x is g(x) a real n

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.