Last visit was: 13 Dec 2024, 14:34 It is currently 13 Dec 2024, 14:34
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Dec 2024
Posts: 97,874
Own Kudos:
Given Kudos: 88,268
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,874
Kudos: 685,614
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
rajatchopra1994
Joined: 16 Feb 2015
Last visit: 22 Jun 2024
Posts: 1,063
Own Kudos:
Given Kudos: 30
Location: United States
Posts: 1,063
Kudos: 1,142
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
MathRevolution
User avatar
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Last visit: 27 Sep 2022
Posts: 10,114
Own Kudos:
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Expert reply
GMAT 1: 760 Q51 V42
Posts: 10,114
Kudos: 17,805
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
BrushMyQuant
Joined: 05 Apr 2011
Last visit: 13 Dec 2024
Posts: 2,044
Own Kudos:
Given Kudos: 100
Status:Tutor - BrushMyQuant
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
Posts: 2,044
Kudos: 2,298
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given that \(h(x) = 2x - 1\) and \(g(x) = x^2 - 3\) and \(g(m) = 61\) and we need to find the value of \(h(g(5))\)

Lets start by finding the value of g(5)

To find g(5) we need to compare what is inside the bracket () in g(5) and g(x)

=> We need to substitute x with 5 in \(g(x) = x^2 - 3\) to get the value of g(5)

=> \(g(5) = 5^2 - 3\) = 25 - 3 = 22

=> h(g(5)) = h(22)

Similarly, h(22) = 2*22 - 1 = 44 - 1 = 43

So, Answer will be C
Hope it helps!

Watch the following video to learn the Basics of Functions and Custom Characters

Moderator:
Math Expert
97874 posts