For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.f(x) = 16 - x2; g(x) = 4 - x;
Find f + g.
A. (f + g)(x) = -x2 - x + 20; (-?, ?)
B. (f + g)(x) = 4 + x; (-?, -4) ? (-4, ?)
C. (f + g)(x) = x3 - 4x2 - 16x + 64; (-?, ?)
D. (f + g)(x) = -x2 + x + 12; (-?, ?)
Answer: A
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Solve the problem.On the December 8 billing date, Hakeem had a balance due of $640.34 on his credit card. The transactions during the following month were: The interest rate on the card is 1.4% per month. Using the average daily balance method, find the balance due on January 8 (December has 31 days).
A. $786.82 B. $650.59 C. $787.17 D. $786.66
Use the root test to determine if the series converges or diverges.
A. Diverges B. Converges
Write an equation for the function that is the shape of but shifted three units to the right and five units downward.
a.
b.
c.
d.
Find the domain of the composite function (f ? g)(x). Write the domain in interval notation.f(x) = 2x + 12, g(x) =
A. (-?, ?) B. [-6, ?) C. (-?, -6] ? [0, ?) D. [0, ?)