What is the answer for question 7) ?

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When adding functions given in terms of sets, first find the intersection of the domains.

Remember, domain is the x-value.

Domain of h(t) = {-4, -2, 0, 1, 3, 5)

Domain of k(t) = {-3, -2, -1, 1, 2, 3, 4, 6}

The intersection of the domains = {-2, 1, 3} because they appear in the domains of both sets.

Next, identify the cooresponding y-values for each of the numbers in the domain. Add these y-values.

x = -2

h(-2) = -3

k(-2) = 6

h(-2) + k(-2) = -3 + 6 = 3

(-2, 3)

x = 1

h(1) = 3

k(1) = 0

h(1) + k(1) = 3 + 0 = 3

(1, 3)

x = 3

h(3) = -1

k(3) = 5

h(3) + k(3) = -1 + 5 = 4

(3, 4)

**Answer:****h(t) + k(t) = {(-2, 3), (1, 3), (3, 4)}**

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