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# If the function f(x) is defined for all real numbers x as th

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Founder
Joined: 18 Apr 2015
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If the function f(x) is defined for all real numbers x as th [#permalink]  15 May 2019, 05:26
Expert's post
00:00

Question Stats:

28% (00:04) correct 71% (00:45) wrong based on 7 sessions
If the function f(x) is defined for all real numbers x as the maximum value of 2x + 4 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?

(A) –4

(B) –5

(C) –6

(D) –7

(E) –9
[Reveal] Spoiler: OA

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Manager
Joined: 09 Mar 2019
Posts: 53
Followers: 0

Kudos [?]: 12 [0], given: 0

Re: If the function f(x) is defined for all real numbers x as th [#permalink]  08 Jun 2019, 19:59
Thankyou.
Founder
Joined: 18 Apr 2015
Posts: 7311
Followers: 122

Kudos [?]: 1427 [1] , given: 6561

Re: If the function f(x) is defined for all real numbers x as th [#permalink]  09 Jun 2019, 10:06
1
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Expert's post
The questions boils down to

for which value of x is 2x + 4 is greater than or equal to 12 + 3x ?

$$2x + 4 ≥ 12 + 3x$$

$$x ≤ –8$$

E is the answer. The question is hard only in appearance. They are just tricky this way.

PS: we reply to the students both they are going to have their exam tomorrow and in a year from now. regardless of the rest.
Thank you
_________________
Re: If the function f(x) is defined for all real numbers x as th   [#permalink] 09 Jun 2019, 10:06
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