Find f(x) and g(x) so the function can be expressed as y = f(g(x)).

Question

anonymous · Answer

$$y=(8/x^2)+4$$

anonymous · Answer

@hartnn @phi @Whitemonsterbunny17

hartnn · Answer

multiple answers,
let me give you an example :

if f(g(x)) = $\Large e^{x^2+4}$
 you can take f(x) = e^x ,
g(x) = x^2+4

hartnn · Answer

example 2 : 
f(g(x)) = 9+10/ log x

so f can be taken as 9+x 
and g as 10/log x

OR 

f can be taken as 9+10/x
g as log x

both gives 
f(g(x)) = 9+10/ log x

kc_kennylau · Answer

And of course, you can always set g(x) = x

anonymous · Answer

Okay so i basically make up the f(g(x)) to an extent then pull the f(x) and g(x) out of that?

hartnn · Answer

didn't get you...
try to get f and g for 8/x^2 +4 
and let me know, if there is any error, i'll correct you :)

anonymous · Answer

f=x^2+4

g=8  ?

anonymous · Answer

functions have always confused me

hartnn · Answer

your g is constant

and you can't take x^2+4 as one function,
the question is $\dfrac{8}{x^2}+4$
and not 
8/(x^2+4)
right ?

anonymous · Answer

Right

hartnn · Answer

easiest thing you can do is to try and take 1st term as f (8/x^)
and see what 'g' you can take to make f(g(x)) as 8/x^2+4

hartnn · Answer

**f =(8/x^2)

anonymous · Answer

Oh! *click*

anonymous · Answer

I get it

hartnn · Answer

so what f and g functions did u choose ?

anonymous · Answer

f=8/x^2

g=4

hartnn · Answer

nopes

anonymous · Answer

darn

hartnn · Answer

sorry i meant g= 8/x^2
and find 'f'

hartnn · Answer

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