Question
What is the translation rule that describes the result of the composition of
(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)?
(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)?
Answers
GPT 3.5
To find the result of the composition of the two functions, we first apply the second function to get:
(x, y) --> (x-5, y-5)
Then, we apply the first function to the result of the second function, which gives us:
(x-5, y-5) --> ((x-5)+4, (y-5)-1)
--> (x-1, y-6)
Therefore, the result of the composition of the two functions is:
(x, y) --> (x-1, y-6)
(x, y) --> (x-5, y-5)
Then, we apply the first function to the result of the second function, which gives us:
(x-5, y-5) --> ((x-5)+4, (y-5)-1)
--> (x-1, y-6)
Therefore, the result of the composition of the two functions is:
(x, y) --> (x-1, y-6)