Answer: [tex]\left \{ {b\epsilon \mathbb{N}: b\leq 6} \right \}[/tex]
Step-by-step explanation:
Given: Gilbert has 50 drywall screws. He is purchasing more screws. He can purchase up to 6 boxes of screws.
Each box of screws contains 200 screws.
The function that models the number screws which Gilbert has is
[tex]f(b)=200b+50f(b)[/tex], where b is the number of boxes he purchases.
As, he can't purchase partial boxes., therefore b should be a natural number which is less than equal to 6.
Thus, the domain of the function =[tex]\left \{ {b\epsilon \mathbb{N}: b\leq 6} \right \}[/tex]
