State with reason whether following functions have inverse
(i) `f:{1,2,3,4} ->{10} " with " f={(1, 10),(2, 10),(3, 10),(4, 10)}`
(ii) `g:{5, 6, 7, 8}->{1,2,3,4}" with "g={(5, 4),(6, 3),(7, 4),(8, 2)}`
(iii) `h : {2, 3, 4, 5} → {7, 9, 11, 13}" with "h = {(2, 7), (3, 9), (4, 11), (5, 13)}`

Explanation

To determine whether the given functions have inverses, we need to check if they are one-to-one (injective) and onto (surjective). A function has an inverse if and only if it is both one-to-one and onto.

### Step-by-step Solution:

**(i)** For the function \( f: \{1, 2, 3, 4\} \to \{10\} \) defined by \( f = \{(1, 10), (2, 10), (3, 10), (4, 10)\} \):

1. **Check for One-to-One (Injective)**:
- A function is one-to-one if different inputs map to different outputs.
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