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

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If the function f(x) is defined for all real numbers x as th [#permalink] New post   15 May 2019, 05:26
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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
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E
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Re: If the function f(x) is defined for all real numbers x as th [#permalink] New post   08 Jun 2019, 19:59
PLease explain this.
I've had my exam soon.
Thankyou.
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Re: If the function f(x) is defined for all real numbers x as th [#permalink] New post   09 Jun 2019, 10:06
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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.
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If the function f(x) is defined for all real numbers x as th [#permalink] New post   11 Dec 2021, 10:07
Given that f(x) max (2x+4, 12 + 3x) and we need to find for which value of x will f(x) = 2x+4

Since, f(x) = 2x+4 => 2x+4 > 12+3x
=> 4 - 12 > 3x-2x
=> x < -8
Only value less than -8 is -9

So, Answer will be E
Hope it helps!

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Re: If the function f(x) is defined for all real numbers x as th [#permalink] New post   06 Dec 2024, 04:18
Hello from the GRE Prep Club BumpBot!

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Re: If the function f(x) is defined for all real numbers x as th [#permalink]
06 Dec 2024, 04:18
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