It is currently 23 Feb 2019, 01:21

### 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

# The functions f and g are defined by f (x) = |2x +1| and g(

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 5600
Followers: 89

Kudos [?]: 1119 [0], given: 5180

The functions f and g are defined by f (x) = |2x +1| and g( [#permalink]  11 Dec 2017, 10:34
Expert's post
00:00

Question Stats:

80% (01:37) correct 20% (00:00) wrong based on 5 sessions
The functions f and g are defined by f(x) = |2x + 1| and g(x) = 3 for all numbers x. What is the least value of c for which f(c) = g(c)?

[Reveal] Spoiler: OA
$$-2$$

_________________
Director
Joined: 20 Apr 2016
Posts: 818
WE: Engineering (Energy and Utilities)
Followers: 9

Kudos [?]: 588 [1] , given: 116

Re: The functions f and g are defined by f (x) = |2x +1| and g( [#permalink]  12 Dec 2017, 04:52
1
KUDOS
Carcass wrote:
The functions f and g are defined by f (x) = |2x +1| and g(x)=3 for all numbers x. What is the least value of c for which f (c) = g (c)?

[Reveal] Spoiler: OA
OA in 24h

Here,

we need to find the least value of c

therefore

|2x +1| = 3

or 2x +1 = 3

or x = 1

therefore when c= 1 we have f (c) = g (c)

However we can also write as

|2x +1| = 3

or 2x + 1 = -3

or x = -2

therefore when c= -2 we have f (c) = g (c).

Hence the least value is = -2
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

GRE Instructor
Joined: 10 Apr 2015
Posts: 1444
Followers: 54

Kudos [?]: 1368 [1] , given: 8

Re: The functions f and g are defined by f (x) = |2x +1| and g( [#permalink]  17 Feb 2019, 09:19
1
KUDOS
Expert's post
Carcass wrote:
The functions f and g are defined by f(x) = |2x + 1| and g(x) = 3 for all numbers x. What is the least value of c for which f(c) = g(c)?

[Reveal] Spoiler: OA
$$-2$$

If f(x) = |2x + 1|, then f(c) = |2c + 1|
If g(x) = 3, then g(c) = 3

So, the equation f(c) = g(c) becomes |2c + 1| = 3

So, EITHER 2c + 1 = 3 OR 2c + 1 = -3

Let's solve each equation

Take: 2c + 1 = 3
Subtract 1 from both sides to get: 2c = 2
Solve: c = 1

Take: 2c + 1 = -3
Subtract 1 from both sides to get: 2c = -4
Solve: c = -2

What is the LEAST value of c for which f(c) = g(c)?
The solutions are c = 1 and c = -2

The LEAST value is -2

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: The functions f and g are defined by f (x) = |2x +1| and g(   [#permalink] 17 Feb 2019, 09:19
Display posts from previous: Sort by