How do you simplify #f(x) = \frac { 1+ x } { ( 1- x ) ^ { 2} }#?

1 Answer

#f(x)=1/(1-x)#

Explanation:

Your function can be written just like:
#f(x)=(1+x)/((1-x)(1+x))#, amplify the 1+x
and you get #f(x)=1/(1-x)#
But be careful, because your x Definition of f(x), is still the same as the old one which is #x in (-oo,-1)uu(-1,1)uu(1, +oo)#