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QOTD # 4 The function f is defined by

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QOTD # 4 The function f is defined by [#permalink] New post 13 Sep 2016, 01:55
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Question Stats:

87% (00:46) correct 12% (01:03) wrong based on 16 sessions
The function f is defined by \(f(\frac{x + 3}{2}) = 3x^2 - x + 5\) for all x

Quantity A
Quantity B
f(4)
75


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.

Practice Questions
Question: 4
Page: 203
[Reveal] Spoiler: OA

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Re: QOTD # 4 The function f is defined by [#permalink] New post 13 Sep 2016, 01:59
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Explanation

Notice the first quantity that is f(4) which means our x = 4. As such, on the LHS of our equation \(\frac{x + 3}{2} = 4\). That lead us to x = 5

Substitute this value in our function we will obtain x = 75

The best answer is C
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Re: QOTD # 4 The function f is defined by [#permalink] New post 17 Sep 2016, 07:47
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Carcass wrote:
The function f is defined by \(f(\frac{x + 3}{2}) = 3x^2 - x + 5\) for all x

Quantity A
Quantity B
f(4)
75


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.

Practice Questions
Question: 4
Page: 203


We're told that f[(x+3)/2] = 3x² - x + 5

Quantity A tells us to INPUT a value of 4

So, we can conclude that (x+3)/2 = 4
When we solve this equation, we get x = 5
In other words, f(4) = f[(5+3)/2] = 3(5²) - 5 + 5
= 75 - 5 + 5
= 75

So...
Quantity A: f(4) = 75
Quantity B: 75

Answer:
[Reveal] Spoiler:
C


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Re: QOTD # 4 The function f is defined by [#permalink] New post 21 Dec 2017, 01:46
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Carcass wrote:
Explanation

Notice the first quantity that is f(4) which means our x = 4. As such, on the LHS of our equation \(\frac{x + 3}{2} = 4\). That lead us to x = 5

Substitute this value in our function we will obtain x = 75

The best answer is C


Thanks!
My mistake was simply plug 4 into X
actually it is f(x)=4 , so then we find out what x was.
Re: QOTD # 4 The function f is defined by   [#permalink] 21 Dec 2017, 01:46
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QOTD # 4 The function f is defined by

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