Which of the following is an example of a function f(x)/g(x), where g(x) is a product of non-repeated linear fractions only, and f(x)/g(x) is a proper fraction?

A) {x+1}/{x²+1}
B) {x²+1}/{x+1}
C) {x²+1}/{(x-1)(x+1)}
D) {x-1}/{x²+1}