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operations on functions
- Thread starter teddy7
- Start date
It would greatly help to know what the original problem asks completely and exactly.Does anyone know how to solve this?
Find h(t) + k(t) if h(t) = {(-4,5), (-2,-3), (0,5), (1,3), (3,-1), (5,5)} and k(t) = {(-3,-2), (-2,6), (-1,0), (1,0), (2,-6), (3,5), (4,0), (6,-2)}
In the mean time, did you notice that the two functions h and k have different domains. What does that imply about the domain of their sum?
Hello, teddy7!
A very strange problem . . .
I must guess what \(\displaystyle h(t)\) means.
Does the \(\displaystyle t\) refer to the first element of the ordered pair?
What does \(\displaystyle h(t) + k(t)\) mean?
Are we adding corresponding "coordinates" (like vectors)?
A very strange problem . . .
\(\displaystyle \text{Given: }\;h(t) \:=\:\begin{Bmatrix}(\text{-}4,5) \\ (\text{-}2,\text{-}3) \\ (0,5) \\ (1,3) \\ (3,\text{-}1) \\ (5,5)\end{Bmatrix}\;\text{ and }\;k(t) \;=\;\begin{Bmatrix}(\text{-}3,\text{-}2) \\ (\text{-}2,6) \\ (\text{-}1,0) \\ (1,0) \\ (2,\text{-}6) \\ (3,5) \\ (4,0) \\ (6,\text{-}2) \end{Bmatrix} \)
\(\displaystyle \text{Find }\,h(t) + k(t).\)
I must guess what \(\displaystyle h(t)\) means.
Does the \(\displaystyle t\) refer to the first element of the ordered pair?
What does \(\displaystyle h(t) + k(t)\) mean?
Are we adding corresponding "coordinates" (like vectors)?