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The functions f and g are defined as f(x, y) equals average
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14 May 2019, 01:16
14 May 2019, 01:16
Expert Reply
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Question Stats:
86% (00:32) correct
13% (00:57) wrong based on 15 sessions
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The functions f and g are defined as f(x, y) equals average of x and y and g(x, y) equals the greater of the numbers x and y. Then f(3, 4) + g(3, 4) =
(A) 6
(B) 6.5
(C) 7
(D) 7.5
(E) 8.5
(A) 6
(B) 6.5
(C) 7
(D) 7.5
(E) 8.5
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GMAT 1: 770 Q51 V44
GRE 1: Q169 V168
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Re: The functions f and g are defined as f(x, y) equals average
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14 May 2019, 07:44
14 May 2019, 07:44
Expert Reply
The first step to all function questions is to follow the instructions and avoid the inclination to become intimidated. In this case, you most likely know how to find all of the necessary information to properly solve the problem, so simply be methodical and do not skip steps to arrive to the correct answer.
First, skip to the end of the problem to determine what is being sought to save time. In this case the problem seeks the value of f(3, 4) + g(3, 4).
Now, read the problem taking notes and completing obviously necessary calculations as you go.
As defined f(x, y) is equal to the average of x and y. So, go ahead and find the average of 3 and 4 by adding the values and dividing by two. Thus, the average of 3 and 4 or f(3, 4) = 3.5.
Next, as defined, g(x, y) is equal to the greater of the numbers. So, the g(3, 4) = 4.
Finally, sum the two values derived from the functions, 3.5 + 4, to arrive at the correct value of 7.5, which matches choice D.
First, skip to the end of the problem to determine what is being sought to save time. In this case the problem seeks the value of f(3, 4) + g(3, 4).
Now, read the problem taking notes and completing obviously necessary calculations as you go.
As defined f(x, y) is equal to the average of x and y. So, go ahead and find the average of 3 and 4 by adding the values and dividing by two. Thus, the average of 3 and 4 or f(3, 4) = 3.5.
Next, as defined, g(x, y) is equal to the greater of the numbers. So, the g(3, 4) = 4.
Finally, sum the two values derived from the functions, 3.5 + 4, to arrive at the correct value of 7.5, which matches choice D.
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Re: The functions f and g are defined as f(x, y) equals average
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11 Dec 2021, 10:35
11 Dec 2021, 10:35
1
Given that f(x,y) = Average of x and y = \(\frac{x+y}{2}\) and g(x,y) = Greater of x and y and we need to find the value of f(3, 4) + g(3, 4)
f(3,4) -> we can find this value by putting x = 3 and y = 4 in f(x,y)
=> f(3,4) = \(\frac{3+4}{2}\) = \(\frac{7}{2}\) = 3.5
g(3,4) -> we can find this value by putting x = 3 and y = 4 in g(x,y)
=> g(3,4) = Greater of 3 and 4 = 4
=> f(3, 4) + g(3, 4) = 3.5 + 4 = 7.5
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
f(3,4) -> we can find this value by putting x = 3 and y = 4 in f(x,y)
=> f(3,4) = \(\frac{3+4}{2}\) = \(\frac{7}{2}\) = 3.5
g(3,4) -> we can find this value by putting x = 3 and y = 4 in g(x,y)
=> g(3,4) = Greater of 3 and 4 = 4
=> f(3, 4) + g(3, 4) = 3.5 + 4 = 7.5
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
