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Given 1/2f(x)=f(x/2),
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Updated on: 19 Feb 2018, 02:13
Updated on: 19 Feb 2018, 02:13
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Given \(\frac{1}{2} f(x)= f (\frac{1}{2} * x)\), which of the following is true for all values of f(x)?
A.\(f(x)= 2x+2\)
B.\(f(x)=13x\)
C.\(f(x)=x^2\)
D.\(f(x)=x-10\)
E.\(f(x)=\sqrt{(x-4)}\)
I know the answer is B and I got it by trying each f(x) function. However the answer indicates, "the fastest method is to use logical: since the order of operations says that order does not matter with multiplication and division but does matter between multiplication and addition/subtraction, or multiplication and exponents, choose a function that has only multiplication and/or division."
Could anyone explain this logic? Thank you.
A.\(f(x)= 2x+2\)
B.\(f(x)=13x\)
C.\(f(x)=x^2\)
D.\(f(x)=x-10\)
E.\(f(x)=\sqrt{(x-4)}\)
I know the answer is B and I got it by trying each f(x) function. However the answer indicates, "the fastest method is to use logical: since the order of operations says that order does not matter with multiplication and division but does matter between multiplication and addition/subtraction, or multiplication and exponents, choose a function that has only multiplication and/or division."
Could anyone explain this logic? Thank you.
Originally posted by alihong2010 on 17 Feb 2018, 12:03.
Last edited by Carcass on 19 Feb 2018, 02:13, edited 2 times in total.
Last edited by Carcass on 19 Feb 2018, 02:13, edited 2 times in total.
Edited by Carcass
Re: A question on functions and formulas from Manhattan Prep 5lb
[#permalink]
17 Feb 2018, 16:18
17 Feb 2018, 16:18
alihong2010 wrote:
Given 1/2f(x)=f(x/2), which of the following is true for all values of f(x)?
A.f(x)=2x+2
B.f(x)=13x
C.f(x)=x^2
D.f(x)=x-10
E.f(x)=sqrt(x-4)
I know the answer is B and I got it by trying each f(x) function. However the answer indicates, "the fastest method is to use logical: since the order of operations says that order does not matter with multiplication and division but does matter between multiplication and addition/subtraction, or multiplication and exponents, choose a function that has only multiplication and/or division."
Could anyone explain this logic? Thank you.
A.f(x)=2x+2
B.f(x)=13x
C.f(x)=x^2
D.f(x)=x-10
E.f(x)=sqrt(x-4)
I know the answer is B and I got it by trying each f(x) function. However the answer indicates, "the fastest method is to use logical: since the order of operations says that order does not matter with multiplication and division but does matter between multiplication and addition/subtraction, or multiplication and exponents, choose a function that has only multiplication and/or division."
Could anyone explain this logic? Thank you.
well, since the problem features transformations which feature multiplication (1/2*f(x)) and division (x/2), it's safe to say that the DM part of PEDMAS is used- I guess that leads to trying only equations with DM transformations? I'm not 100% sure either
Re: A question on functions and formulas from Manhattan Prep 5lb
[#permalink]
17 Feb 2018, 16:19
17 Feb 2018, 16:19
alihong2010 wrote:
Given 1/2f(x)=f(x/2), which of the following is true for all values of f(x)?
A.f(x)=2x+2
B.f(x)=13x
C.f(x)=x^2
D.f(x)=x-10
E.f(x)=sqrt(x-4)
I know the answer is B and I got it by trying each f(x) function. However the answer indicates, "the fastest method is to use logical: since the order of operations says that order does not matter with multiplication and division but does matter between multiplication and addition/subtraction, or multiplication and exponents, choose a function that has only multiplication and/or division."
Could anyone explain this logic? Thank you.
A.f(x)=2x+2
B.f(x)=13x
C.f(x)=x^2
D.f(x)=x-10
E.f(x)=sqrt(x-4)
I know the answer is B and I got it by trying each f(x) function. However the answer indicates, "the fastest method is to use logical: since the order of operations says that order does not matter with multiplication and division but does matter between multiplication and addition/subtraction, or multiplication and exponents, choose a function that has only multiplication and/or division."
Could anyone explain this logic? Thank you.
What page in the book was this featured, if you don't mind me asking?
