Let N be the set of natural numbers and f : N->N be a function given by f(x)=x+1 for `x in N`.Which one of the following is correct? a. f is one-one and onto b. f is one-one but not onto c. f is only onto d. f is neither one-one nor onto

Explanation

A function, `f(x)` is a one-one function if
`f(a) = f(b)`,

then, `a =b`

Here, `f(x) = x+1`

`f(a) = a+1`

`f(2) = b+1`

If, `f(a) = f(2)`

Then, `a+1 = b+1 => a = b`

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