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The functions f and g are defined as f(x, y) = 2x + y and g(

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Carcass
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The functions f and g are defined as f(x, y) = 2x + y and g( [#permalink] New post   14 May 2019, 00:59
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The functions f and g are defined as f(x, y) = 2x + y and g(x, y) = x + 2y. What is the value of f(3, 4) ?

(A) f(4, 3)

(B) f(3, 7)

(C) f(7, 4)

(D) g(3, 4)

(E) g(4, 3)
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E
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Re: The functions f and g are defined as f(x, y) = 2x + y and g( [#permalink] New post   16 Apr 2020, 12:52
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f(x, y) = 2x + y and g(x, y) = x + 2y

f(3, 4) = 10
and g(4, 3) = 10
IMO E
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Re: The functions f and g are defined as f(x, y) = 2x + y and g( [#permalink] New post   12 Jul 2020, 22:44
Carcass wrote:
f(x, y) = 2x + y and g(x, y) = x + 2y

f(3, 4) = 10
and g(4, 3) = 10
IMO E


The question is asking about value of f(x,y) whereas acc to answer we have to prove f(x,y) = g(x,y). This is a confusing question :(
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Re: The functions f and g are defined as f(x, y) = 2x + y and g( [#permalink] New post   11 Dec 2021, 09:14
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Given that f(x, y) = 2x + y and g(x, y) = x + 2y and we need to find the value of f(3, 4)

To find value of of f(3,4) we need to replace x, y with 3, 4 in f(x, y)
=> f(3, 4) = 2*3 + 4 = 6 + 4 = 10

Now, we need to take each answer choice and calculate the value and see which option gives us 10

(A) f(4, 3) = 2*4 + 3 = 8 + 3 = 11

(B) f(3, 7) = 2*3 + 7 = 6 + 7 = 13

(C) f(7, 4) = 2*7 + 4 = 14 + 4 = 18

(D) g(3, 4) = 3 + 2*4 = 3 + 8 = 11

(E) g(4, 3) = 4 + 2*3 = 4 + 6 = 10 [ which is equal to f(3,4) ]

So, Answer will be E
Hope it helps!

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