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The function f is defined for all numbers

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Carcass
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The function f is defined for all numbers [#permalink] New post   02 Dec 2019, 03:07
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The function \(f\) is defined for all numbers \(x\) by \(f(2x) = x^2-2x+8\)


Quantity A
Quantity B
\(f(6)\)
\(12\)




A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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B
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Re: The function f is defined for all numbers [#permalink] New post   02 Dec 2019, 08:28
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Carcass wrote:
The function \(f\) is defined for all numbers \(x\) by \(f(2x) = x^2-2x+8\)


Quantity A
Quantity B
\(f(6)\)
\(12\)




A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation


GIVEN: f(2x) = x² - 2x + 8

So, to evaluate f(6), we must first recognize that 6 = 2(3)
So, when x = 3, f(6) = f[(2)(3)] = 3² - 2(3) + 8 = 9 - 6 + 8 = 11

We get:
QUANTITY A: 11
QUANTITY B: 12

Answer: B

Cheers,
Brent
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Re: The function f is defined for all numbers [#permalink] New post   13 Jun 2022, 02:44
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The function f is defined for all numbers [#permalink]
13 Jun 2022, 02:44
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