Question

if f(x)=x-1/x+1, then find: f(1/x)+f(x)​

Answer 1

Answer:

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

substitute 1/x in x place

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

= 1-x/x÷1+x/x

x and x gets cancelled

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

f(1/x)+f(x)=1-x/1+x. +. x-1/x+1

denominators are same

1-x+x-1/x+1=0/x+1=0

0/anything is 0