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Which is greater f(g(3)) or g(f(3))
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16 Jan 2019, 17:30
16 Jan 2019, 17:30
Expert Reply
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Question Stats:
94% (00:22) correct
5% (00:13) wrong based on 54 sessions
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\(f(x)=2x\)
\(g(x)=\)\(\frac{1}{2} x\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
\(g(x)=\)\(\frac{1}{2} x\)
Quantity A |
Quantity B |
\(f(g(3))\) |
\(g(f(3))\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: Which is greater f(g(3)) or g(f(3))
[#permalink]
16 Jan 2019, 21:25
16 Jan 2019, 21:25
1
Carcass wrote:
\(f(x)=2x\)
\(g(x)=\)\(\frac{1}{2} x\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
\(g(x)=\)\(\frac{1}{2} x\)
Quantity A |
Quantity B |
\(f(g(3))\) |
\(g(f(3))\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Explanation::
\(f(g(3)) = f(\frac{1}{2} *3) = f(\frac{3}{2}) = 2 * \frac{3}{2} = 3\)
\(g(f(3)) = g ( 2 * 3 ) = g (6) = \frac{1}{2} * 6 = 3\)
Hence Qty A = Qty B
gmatclubot
Re: Which is greater f(g(3)) or g(f(3)) [#permalink]
16 Jan 2019, 21:25
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