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

#1**0 **

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

#2**0 **

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**0 **

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