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Let the function \( f: \mathbf{R} \sim\{-b\} \rightarrow \mathbf{R} \sim\{1\} \) be defined by \( f(x)=\frac{x+a}{x+b}(a \neq b) \) then
(a) \( f \) is one-one but not onto
(b) \( f \) is onto but not one-one
(c) \( f \) is both one-one and onto
(d) \( f^{-1}(2)=a-2 b \)
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