Let \(f\) be a function \(f: \mathbb{N} \rightarrow \mathbb{N}\) defined by \(f(x) = 3x + 2\), \(x \in \mathbb{N}\).
(i) Find the images of \(1\), \(6\), \(3\).
Answer: The images of of \(1\), \(6\), \(3\) are respectively.
(ii) Find the pre-images of \(35\), \(59\).
Answer: The pre-image of \(35\) is and that of \(59\) is .
(iii) Identify the type of function.