If the polynomial $$f(x)$$ when divided by $$(x - 1)$$ leaves a remainder 2 and when divided by $$(x - 2)$$ leaves a remainder 1, then the remainder when $$f(x)$$ is divided by $$(x - 1)(x - 2)$$ is

A

2

B

$$3 + x$$

C

$$3 - x$$

D

$$x$$