Find f(x) and g(x) so the function can be expressed as y = f(g( y = (8/x^2) + 4

Y=f(g(x))      and      

our aim is to express f as a function of g, where g is a function itself, of x.

in the expression tex]y= \frac{8}{x^{2}}+4 [/tex] we may notice 2 functions:

the squaring x function, which may well be our g: 

and the "8 divided by x, +4" function: 

check : 



because whatever the input of f is, it divides it from 8, and adds 4 to the division. 

since, ,