Question

if f(x) = x+1/x-1, show that f{f(x)} =x​

Answer 1

U can refer the attachment for the answer

EXPLANATION:

your question is f(x)={x+1}/{x-1} we are asked to prove that f(f(x))=x

here f(f(x))=f({x+1}/{x-1})

again substituting this value in the place after solving we get f(f(x))=x