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If function f defined as, f(x) = f(x + 2) and f(2) = 7.
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04 Sep 2023, 02:21
04 Sep 2023, 02:21
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71% (01:04) correct
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If function f defined as, f(x) = f(x + 2) and f(โ2) = 7.
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.
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Quantity A |
Quantity B |
f(7) |
7 |
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.
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) ALL the GRE Quant and Verbal Practice Directories in ONE place (2023)
\(\Longrightarrow\) Best GRE Test Books of 2023
Re: If function f defined as, f(x) = f(x + 2) and f(2) = 7.
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11 Sep 2023, 03:56
11 Sep 2023, 03:56
Could someone post the solution for this
If function f defined as, f(x) = f(x + 2) and f(2) = 7.
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11 Sep 2023, 07:50
11 Sep 2023, 07:50
1
Expert Reply
OE
Given that ๐(๐ฅ) = ๐ (๐ฅ + 2),
๐ (โ2) = 7, Now we can say ๐ (โ2) = ๐ (โ2 + 2), i.e. ๐ (2) = ๐ (0)
๐ (โ2) = ๐ (0), so we can say ๐ (0) = ๐ (0 + 2), ๐. ๐. ๐ (0) = ๐ (2),
So, this way, we have ๐(โ2) = ๐(0) = ๐(2) = ๐(4) = ๐(6) = ๐(8) and so on which is equal to 7.
For all even values of ๐ฅ, ๐(๐ฅ) = 7.
But we canโt say anything about ๐(โ7). It could be anything.
Given that ๐(๐ฅ) = ๐ (๐ฅ + 2),
๐ (โ2) = 7, Now we can say ๐ (โ2) = ๐ (โ2 + 2), i.e. ๐ (2) = ๐ (0)
๐ (โ2) = ๐ (0), so we can say ๐ (0) = ๐ (0 + 2), ๐. ๐. ๐ (0) = ๐ (2),
So, this way, we have ๐(โ2) = ๐(0) = ๐(2) = ๐(4) = ๐(6) = ๐(8) and so on which is equal to 7.
For all even values of ๐ฅ, ๐(๐ฅ) = 7.
But we canโt say anything about ๐(โ7). It could be anything.
