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If f(2a) = 2f(a) and f(6) = 11, what is the value of f(24)?
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30 Jul 2018, 09:45
30 Jul 2018, 09:45
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Question Stats:
90% (01:11) correct
10% (01:21) wrong based on 70 sessions
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If \(f(2a) = 2f(a)\) and \(f(6) = 11\), what is the value of f(24)?
(A) 22
(B) 24
(C) 44
(D) 66
(E) 88
(A) 22
(B) 24
(C) 44
(D) 66
(E) 88
Re: If f(2a) = 2f(a) and f(6) = 11, what is the value of f(24)?
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11 Aug 2018, 13:30
11 Aug 2018, 13:30
Here you need to note the given formulae and try to use them.
24 = 2*2*6
So f(24) = f(2(2*6)) = 2f(2*6) = 2*2f(6) = 4*f(6) = 4*11 = 44
So C.
24 = 2*2*6
So f(24) = f(2(2*6)) = 2f(2*6) = 2*2f(6) = 4*f(6) = 4*11 = 44
So C.
Re: If f(2a) = 2f(a) and f(6) = 11, what is the value of f(24)?
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12 Aug 2018, 07:16
12 Aug 2018, 07:16
3
Expert Reply
Explanation
This question concerns some function for which the full formula is not provided. The problem indicates that f(2a) = 2f(a). In other words, this function is such that plugging in 2a is the same as plugging in a and then multiplying by 2. Plug f(6) = 11 into the equation f(2a) = 2f(a):
\(f(2(6)) = 2(11)\)
\(f(12) = 22\)
Use the same process a second time. If a = 12 and f(12) = 22:
\(f(2(12)) = 2(22)\)
\(f(24) = 44\)
This question concerns some function for which the full formula is not provided. The problem indicates that f(2a) = 2f(a). In other words, this function is such that plugging in 2a is the same as plugging in a and then multiplying by 2. Plug f(6) = 11 into the equation f(2a) = 2f(a):
\(f(2(6)) = 2(11)\)
\(f(12) = 22\)
Use the same process a second time. If a = 12 and f(12) = 22:
\(f(2(12)) = 2(22)\)
\(f(24) = 44\)
