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# If f(x)=3x−√x and g(x)=x^2, what is f(g(4))?

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Math Expert
Joined: 02 Sep 2009
Posts: 61302
If f(x)=3x−√x and g(x)=x^2, what is f(g(4))?  [#permalink]

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09 Dec 2015, 07:26
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:45) correct 8% (01:17) wrong based on 399 sessions

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If f(x) = 3x − √x and g(x) = x^2, what is f(g(4))?

A. -4
B. 8
C. 16
D. 32
E. 44

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Joined: 11 Sep 2015
Posts: 4331
Re: If f(x)=3x−√x and g(x)=x^2, what is f(g(4))?  [#permalink]

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09 Dec 2015, 08:32
3
Bunuel wrote:
If f(x) = 3x − √x and g(x) = x^2, what is f(g(4))?

A. -4
B. 8
C. 16
D. 32
E. 44

g(x) = x²
g(4) = 4² = 16

So, f(g(4)) = f(16)

f(x) = 3x − √x
So, f(16) = 3(16) − √16
= 48 - 4
= 44
= E

Cheers,
Brent
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Joined: 28 Feb 2014
Posts: 289
Location: United States
Concentration: Strategy, General Management
Re: If f(x)=3x−√x and g(x)=x^2, what is f(g(4))?  [#permalink]

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09 Dec 2015, 15:54
If f(x) = 3x − √x and g(x) = x^2, what is f(g(4))?

g(4) = 4^2 = 16

f(16) = 3*16 − √16 = 44

E. 44
Manager
Joined: 06 Jul 2014
Posts: 86
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 660 Q48 V32
Re: If f(x)=3x−√x and g(x)=x^2, what is f(g(4))?  [#permalink]

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14 Aug 2017, 13:56
If f(x) = 3x − √x and g(x) = x^2, what is f(g(4))?

g(4)= 16; f(16)= 48-4=44
Director
Joined: 04 Sep 2015
Posts: 675
Location: India
WE: Information Technology (Computer Software)
Re: If f(x)=3x−√x and g(x)=x^2, what is f(g(4))?  [#permalink]

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22 Aug 2017, 10:24
f f(x) = 3x − √x and g(x) = x^2, what is f(g(4))?

A. -4
B. 8
C. 16
D. 32
E. 44

g(4)=16
f(16)=48-4=44

Option E=44
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Posts: 14102
Re: If f(x)=3x−√x and g(x)=x^2, what is f(g(4))?  [#permalink]

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25 Sep 2018, 04:12
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Re: If f(x)=3x−√x and g(x)=x^2, what is f(g(4))?   [#permalink] 25 Sep 2018, 04:12
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