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In a function f, f(1) = 4, f(4) = 3 and f(f(x)) = f(x + 2) - 3, for
[#permalink]
27 Sep 2021, 09:12
27 Sep 2021, 09:12
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52% (02:13) correct
47% (02:35) wrong based on 17 sessions
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In a function f, f(1) = 4, f(4) = 3 and f(f(x)) = f(x + 2) - 3, for all integer values of x.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
f(5) |
9 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: In a function f, f(1) = 4, f(4) = 3 and f(f(x)) = f(x + 2) - 3, for
[#permalink]
29 Sep 2021, 09:26
29 Sep 2021, 09:26
1
KarunMendiratta wrote:
In a function f, f(1) = 4, f(4) = 3 and f(f(x)) = f(x + 2) - 3, for all integer values of x.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
f(5) |
9 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Given, f(1) = 4, f(4) = 3 and f(f(x)) = f(x + 2) - 3
For x = 1, f(f(1)) = f(1 + 2) - 3 => f(4) = f(3) - 3 => f(3) = 6
For x = 4, f(f(4)) = f(4 + 2) - 3 => f(3) = f(6) - 3 => f(6) = 9
Now x = 3
f(f(3)) = f(3 + 2) - 3 => f(6) = f(5) - 3 => f(5) = 12
A is greater.
gmatclubot
Re: In a function f, f(1) = 4, f(4) = 3 and f(f(x)) = f(x + 2) - 3, for [#permalink]
29 Sep 2021, 09:26
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