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Math Expert V
Joined: 02 Sep 2009
Posts: 56300
The function f(x) is defined for all values x as f(x)=x^4/9. What is t  [#permalink]

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Difficulty:   15% (low)

Question Stats: 80% (01:04) correct 20% (01:27) wrong based on 124 sessions

### HideShow timer Statistics The function f(x) is defined for all values x as $$f(x)=\frac{x^4}{9}$$. What is the value of f(3x) in terms of f(x)?

A. f(x)/9
B. f(x)/3
C. 9f(x)
D. 27f(x)
E. 81f(x)

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Senior PS Moderator V
Joined: 26 Feb 2016
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Location: India
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The function f(x) is defined for all values x as f(x)=x^4/9. What is t  [#permalink]

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2
1
We already know that $$f(x) = \frac{x^4}{9}$$.
Hence, $$f(3x) = \frac{(3x)^4}{9} = 9x^4$$

Now since we need f(3x) in terms of f(x),
we can compute f(3x) = 81f(x) because $$81f(x) = \frac{81*x^4}{9} = 9x^4$$ which is equal of f(3x) (Option E)
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Re: The function f(x) is defined for all values x as f(x)=x^4/9. What is t  [#permalink]

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_________________ Re: The function f(x) is defined for all values x as f(x)=x^4/9. What is t   [#permalink] 25 Aug 2018, 09:18
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