To find out how much Omar earns in a week if he sells 36 books, we need to use the given function [tex]\( A(b) = 41 + b \)[/tex].
Here, [tex]\( b \)[/tex] represents the number of books sold by Omar in a week. In this case, [tex]\( b = 36 \)[/tex].
Substituting [tex]\( b = 36 \)[/tex] into the function [tex]\( A(b) \)[/tex], we get:
[tex]\[ A(36) = 41 + 36 \][/tex]
Now, compute the sum:
[tex]\[ A(36) = 77 \][/tex]
Therefore, if Omar sells 36 books in a week, he earns 77 dollars.
[tex]\(\boxed{77}\)[/tex] dollars.