Question

if f(x)=x+1/x-1 then f(x)+f1/x

Answer 1

Given The Function Is
f(x)=(x+1)/(x-1)
And Then Asked What Is The Value Of
f(x)+f(1/x)=?
We Get f(1/x) Function By Substituting The Value x By 1/x In The Given Function
Then We Get
f(1/x)=((1/x)+1)/((1/x)-1)
=(1+x)/(1-x) By Simplifying
Then
f(x)+f(1/x)=(x+1)/(x-1)+((1+x)/(1-x))
=((x+1)(1-x) +(1+x)(x-1)) /((x-1) (1-x))
=((1-x^2+x^2-1)/((x-1) (1-x))
=(0)/((x-1) (1-x))
=0