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# Composition functions

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Express the function $$y=\sqrt{x^2+4}$$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

vest4R  Mar 16, 2017
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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

??

vest4R  Mar 16, 2017
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Try  $$g(x)=x^2+4$$  and  $$f(u)=\sqrt u$$

or  $$g(x)=x^2$$   and  $$f(u)=\sqrt{u+4}$$

or ...

Alan  Mar 16, 2017
#3
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Express the function $$\sqrt{x^2+4}$$ 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

.     $$y=\sqrt{x^2+4}$$

.     $$y=Root\ from \ ( x^2+4)$$

.               u                    g

f(u)=$$\sqrt{g(x)}$$

$$g(x)=(x^2+4)$$

I hope I could help.

!

.

asinus  Mar 16, 2017
edited by asinus  Mar 16, 2017
edited by asinus  Mar 16, 2017
#4
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Alan was correct with, g(x)=x^2+4 and f(u)=sqrt(u)

Guest Mar 16, 2017