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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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\(f(x)\) 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
