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Express the function y=x2+4as a composition of y=f(g(x))of the two simpler functions y=f(u)and u=g(x)

 

f(u)=

g(x)=

 

I know how to put a function into another function but I don't know what this thing is asking :S

 Mar 16, 2017
 #1
avatar+251 
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So I think I've got it....

 

I believe the y function is doing the square root so...

 

f(u) = x+4

g(x)= x^2

 

 

??

 Mar 16, 2017
 #2
avatar+33654 
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Try  g(x)=x2+4  and  f(u)=u

 

or  g(x)=x2   and  f(u)=u+4

 

or ...

 Mar 16, 2017
 #3
avatar+15073 
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Express the function x2+4 as a composition of y=f(g(x)) of the two simpler functions y= f(u) and u=g(x}

f(u)=

g(x)=

I know how to put a function into another function but I don't know what this thing is asking :S

 

.     y=x2+4

 

.     y=Root from (x2+4) 

.               u                    g

 

f(u)=g(x)

 

g(x)=(x2+4) 

 

I hope I could help.

 

laugh  !

 

.  

 Mar 16, 2017
edited by asinus  Mar 16, 2017
edited by asinus  Mar 16, 2017
 #4
avatar
0

Alan was correct with, g(x)=x^2+4 and f(u)=sqrt(u)

 Mar 16, 2017

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