Find the composite function for the given functions and state the domain. g ? f for f(x) =
and g(x) = 3x + 7
A. x
B. x + 14
C. 3x + 14
D. x -
Answer: A
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Solve the problem.A toy rocket is launched straight upward with an initial velocity of 160 feet per second from a 2-foot high platform. The height h, in feet, of the rocket above ground t sec after it is launched is modeled by the function h(t) = -16t2 + 160t + 2. When will the rocket reach its maximum height? What is that height?
A. 1602 ft in 10 sec B. 102 ft in 10 sec C. 402 ft in 5 sec D. 27 ft in 5 sec
The terminal side of ? in standard position contains the given point. Find the values of the six trigonometric functions of ?.(-7, -24)
A. sin ? = -
cos ? = -
tan ? =
csc ? = -
sec ? = -
cot ? =
B. sin ? =
cos ? = -
tan ? = -
csc ? =
sec ? = -
cot ? = -
C. sin ? = -
cos ? = -
tan ? = -
csc ? = -
sec ? = -
cot ? = -
D. sin ? = -
cos ? =
tan ? = -
csc ? = -
sec ? =
cot ? = -
Solve the problem.The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x) = 4x2 - 32x + 128. Find the number of automobiles that must be produced to minimize the cost.
A. 4 thousand automobiles B. 64 thousand automobiles C. 8 thousand automobiles D. 16 thousand automobiles
Perform the operation indicated. Simplify. +
A.
B.
C.
D.