Answer Following Two Questions It Is A Theoretical Knowledge Proof

Problem 1.Let f:R{0}→R{1} given by f(x) =(x+1)/x•

Is f injective? Is f surjective?

Statement 2.Let A and B be sets and letf be a function from A to B. If Y⊆ B and Z ⊆ B, then f−1(YZ) =f−1(Y)f−1(Z).