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Inverse of a Function

Let f : N→ ...

Question

Let $f : N \to Y$ be a function defined as $f (x) = 4 x + 3$ , where, $Y = {y ϵ N : y = 4 x + 3 for some x ϵ N}$ . Show that $f$ is invertible. Find the inverse function

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Solution

$f (x) = 4 x + 3$ is an one-one function but not onto. because the range of f(x) is not including all natural numbers.
Hence, its not an invertible function.

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