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The function F of a number is the square of that number

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Senior Manager
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The function F of a number is the square of that number [#permalink] New post 24 Aug 2005, 04:07
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The function F of a number is the square of that number divided by 2. The function G of a number is the cube of that number after adding 3 to it. The G of the F of a number is 125. What is that number?
a) 5
b) 4
c) 3
d) 2

plz show full work and explanation thanks
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Re: PS FUNCTION [#permalink] New post 24 Aug 2005, 04:18
mandy wrote:
Hello

The function F of a number is the square of that number divided by 2. The function G of a number is the cube of that number after adding 3 to it. The G of the F of a number is 125. What is that number?
a) 5
b) 4
c) 3
d) 2

plz show full work and explanation thanks


It is 2. I did it by picking numbers

F for 2 is 2 and G of F will be 2+3 and cube will be 5^3=125
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 [#permalink] New post 24 Aug 2005, 04:56
d is the answer

g(f(x))=125

g(x^2/2)=125

(x^2/2+3)^3=125

x=2
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 [#permalink] New post 24 Aug 2005, 07:57
[(x^2/2)+3]^3 = 125

solving x = +/- 2

+2 is in the answer choice..
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 [#permalink] New post 24 Aug 2005, 08:35
Indeed it is not a well-founded question, because of x=-2.

Apart from that it is a neat question.
  [#permalink] 24 Aug 2005, 08:35
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