Find the requested composition of functions.Given f(x) =  and g(x) = 8x3, find (g ? f)(x).

A.
B.
C.
D.


Answer: A

Mathematics

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Graph the ellipse. +  = 1

A.

B.

C.

D.

Mathematics

Solve the problem.A cruise boat travels 24 miles downstream in 2 hours and returns to its starting point upstream in 6 hours. Find the speed of the stream.

A. 12 mph B. 8 mph C. 4 mph D. 20 mph

Mathematics

Find an equation of the parabola described and state the two points that define the latus rectum.Focus at (0, 3); directrix the line y = -3

A. x2 = 16y; latus rectum: (8, 3) and (-8, 3) B. x2 = 12y; latus rectum: (3, 6) and (-3, 6) C. x2 = 12y; latus rectum: (6, 3) and (-6, 3) D. y2 = 16x; latus rectum: (7, 8) and (-7, 8)

Mathematics

Write an expression for the nth term of the geometric sequence. Then find the indicated term. (Round your answer to three decimal places.)



a.
b.
c.
d.

Mathematics