Answer:
Step-by-step explanation:
Sure, I'd be happy to help with that.
1. To find (m + c)(t), you simply add the two functions together. So, (m + c)(t) = m(t) + c(t).
Substituting the given functions, we get:
(m + c)(t) = (6t + 18) + (3t + 14)
(m + c)(t) = 6t + 3t + 18 + 14
(m + c)(t) = 9t + 32
Therefore, (m + c)(t) = 9t + 32.
2. To find (m-c)(t), you subtract c(t) from m(t), so (m-c)(t) = m(t) - c(t).
Substituting the given functions, we get:
(m-c)(t) = (6t + 18) - (3t + 14)
(m-c)(t) = 6t - 3t + 18 - 14
(m-c)(t) = 3t + 4
Therefore, (m-c)(t) = 3t + 4.
