A={1,2,3,4} and B={1,3,5,7} and g:A->B. Is `g={(1,1),(2,3),(3,5,),(4,7)}` a function? If this is described by the formula, `g(x)=alphax+beta,` then what values should be assigned to `alpha` and `beta?`

Explanation

To determine whether the relation \( g = \{(1,1), (2,3), (3,5), (4,7)\} \) is a function and to find the values of \( \alpha \) and \( \beta \) for the formula \( g(x) = \alpha x + \beta \), we can follow these steps:

### Step 1: Check if \( g \) is a function
A relation \( g: A \to B \) is a function if every element in set \( A \) has a unique image in set \( B \).

**Solution:**
- The elements of set \( A \) are \( \{1, 2, 3, 4\} \).
- The pairs in \( g \) are \( (1,1), (2,3), (3,5), (4,7) \).
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