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# A couple of Functions questions

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Current Student
Joined: 13 Jul 2009
Posts: 145
Location: Barcelona
Schools: SSE
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Kudos [?]: 319 [0], given: 22

A couple of Functions questions [#permalink]  27 Aug 2009, 02:50
If $$f(x)$$ is defined as the greatest integer less than $$\frac{x}{7}$$, and $$g(x)$$ is defined as the least integer greater than $$\frac{x}{7}$$, then what is the value of $$f(115) + g(60)$$?

If $$f(x) = x^2 - 7x - 10$$ and $$g(x) = f(x-7)$$, what is the positive root of the equation $$f(x) = g(2)$$?

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Manager
Joined: 10 Jul 2009
Posts: 171
Followers: 1

Kudos [?]: 44 [0], given: 8

Re: A couple of Functions questions [#permalink]  27 Aug 2009, 05:53
1)
f(115) = 115/7 = 16(3/7) = 16
g(60) = 8(4/7) = 9
So f(115) + g(60) = 25

2) f(x) = x^2 - 7x - 10
g(x) = f(x-7)
f(x) = g(2)
g(2) = f(2-7) = f(-5) = 25 + 35 - 10 = 50
Square root (50) = 5 * square root(2)
Current Student
Joined: 13 Jul 2009
Posts: 145
Location: Barcelona
Schools: SSE
Followers: 15

Kudos [?]: 319 [0], given: 22

Re: A couple of Functions questions [#permalink]  28 Aug 2009, 01:45
Hi Aleehsgonji, you solved nicely the first, however you misread 'positive root' as 'positive square root'.

$$f(x) = g(2) = 50$$

$$x^2 - 7x - 60 = 0$$

$$(x+5)(x-12)$$

Therefore, the positive root is 12.
_________________

Performance: Gmat | Toefl
Contributions: The Idioms Test | All Geometry Formulas | Friendly Error Log | GMAT Analytics
MSc in Management: All you need to know | Student Lifestyle | Class Profiles

Re: A couple of Functions questions   [#permalink] 28 Aug 2009, 01:45
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