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What is the answer for question 7) ? http://postimg.org/image/dcifjafgx/ (Reminder) :...

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lkballer24 | Student, Grade 11 | (Level 1) Valedictorian

Posted August 7, 2013 at 9:20 PM via web

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What is the answer for question 7) ?

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samhouston | Middle School Teacher | (Level 1) Associate Educator

Posted August 8, 2013 at 12:25 AM (Answer #1)

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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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