Find the domain and the range for the function.

A. D: , R: 
B. D: , R: 
C. D: All real numbers, R: All real numbers
D. D: , R: 


Answer: C

Mathematics

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Given f(x) and g(x), find the composition.f(x) = 4x2 + 4x + 8; g(x) = 4x - 6Find (g ? f)(x).

A. (g ? f)(x) = 4x2 + 16x + 26 B. (g ? f)(x) = 16x2 + 16x + 38 C. (g ? f)(x) = 16x2 + 16x + 26 D. (g ? f)(x) = 4x2 + 4x + 2

Mathematics

Solve the problem.A runner is competing in an 8-mile race. As the runner passes each miles marker (M), a steward records the time elapsed in minutes (t) since the beginning of the race, as shown in the table. What is the runner's average speed over the first 3 miles? Round your answer to four decimal places.

A. 0.0862 miles/min B. 14.3266 miles/min C. 0.0649 miles/min D. 0.0698 miles/min

Mathematics

Graph the function.y = -tan x

A.

B.

C.

D.

Mathematics

Find the equation of the tangent line to the graph of f at the given point.f(x) = x2 + 11x - 15 at (1, -3)

A. y = 2x + 11 B. y = 11x + 15 C. y = 13x - 16 D. y = 11x

Mathematics