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30 Oct 2017, 01:43
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
41% (01:23) correct
59%
(01:28)
wrong
based on 239
sessions
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Not Attempted Yet
[GMAT math practice question]
If f(x+y) = f(x)f(y), which of followings can be the value of f(0)?
I. 0
II. 1
III. 2
A.I only
B. II only
C. III only
D. I and II only
E. I, II and III
If f(x+y) = f(x)f(y), which of followings can be the value of f(0)?
I. 0
II. 1
III. 2
A.I only
B. II only
C. III only
D. I and II only
E. I, II and III
30 Oct 2017, 09:39
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MathRevolution
at \(x=y=0\), we get
\(f(0)=f(0)*f(0) => f(0)={f(0)}^2\)
\({f(0)}^2-f(0)=0 =>f(0)[f(0)-1]=0\)
so \(f(0)=0\) or \(f(0)=1\)
Option D
01 Nov 2017, 01:57
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=>
When we plug in x = 0 and y = 0, we have f(0) = f(0)f(0) or f(0)f(0) – f(0) = 0.
Then f(0){ f(0) – 1 } = 0, so we have f(0) = 0 or f(0) = 1.
Therefore, D is the answer.
Answer: D
When we plug in x = 0 and y = 0, we have f(0) = f(0)f(0) or f(0)f(0) – f(0) = 0.
Then f(0){ f(0) – 1 } = 0, so we have f(0) = 0 or f(0) = 1.
Therefore, D is the answer.
Answer: D
