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f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the v
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12 Mar 2021, 10:16
12 Mar 2021, 10:16
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Question Stats:
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28% (01:38) wrong based on 28 sessions
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f(x) has the properties, f(x+y)=x+f(y) and f(0)=5. What is the value of f(100)?
A.95
B.100
C.105
D.120
E.135
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A.95
B.100
C.105
D.120
E.135
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the v
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12 Mar 2021, 10:22
12 Mar 2021, 10:22
f(x+y) = x + f(y) & f(0) = 5
Take x=100 & y=0
f(100+0) = 100 + f(0) = 100 + 5 = 105
f(100) = 105
Answer C
Take x=100 & y=0
f(100+0) = 100 + f(0) = 100 + 5 = 105
f(100) = 105
Answer C
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Re: f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the v
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12 Mar 2021, 10:30
12 Mar 2021, 10:30
1
Carcass wrote:
f(x) has the properties, f(x+y)=x+f(y) and f(0)=5. What is the value of f(100)?
A.95
B.100
C.105
D.120
E.135
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A.95
B.100
C.105
D.120
E.135
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Given: f(x+y) = x + f(y)
What is the value of f(100)?
We need to somehow use the fact that f(0) = 5 to help us determine the value of f(100).
Notice that we can rewrite 100 as 100 + 0
According to our the function f, we know that: f(100 + 0) = 100 + f(0)
= 100 + 5
= 105
Answer: C
Cheers,
Brent
