Composite Functions

[Broxi]

Hey im currently working through a composite function section and im am stumped when it comes to this question.

A function f is defined on the set of real numbers by

f(x)= (1-x)/x (x cannot = 0)

Find, in its simplest form, an expression for f(f(x))

Any help would b greatly appreciated thx very much

Broxi

[Unregistered]

f(x)= (1-x)/x (x cannot = 0)

ff(x) = f[(1-x)/x)] now replace any x in f(x) with (1-x)/x

= [1-(1-x)/x]/[(1-x)/x] next multiply top amd bottom of the fraction by x

= [x-(1-x)]/(1-x)

= [x-1+x]/(1-x)

= (2x-1)/(1-x)