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# The function f is defined for all numbers

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The function f is defined for all numbers [#permalink]  02 Dec 2019, 03:07
Expert's post
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Question Stats:

85% (00:27) correct 14% (00:22) wrong based on 7 sessions
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
[Reveal] Spoiler: OA

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Re: The function f is defined for all numbers [#permalink]  02 Dec 2019, 08:28
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Expert's post
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

Cheers,
Brent
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Re: The function f is defined for all numbers   [#permalink] 02 Dec 2019, 08:28
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