For the given functions f and g, find the requested composite function.f(x) =
, g(x) = 9x + 10;
Find (g ? f)(x).
A. x + 20
B. x
C. x -
D. 9x + 80
Answer: B
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Solve the problem.How many different three-number "combinations" are possible on a combination lock having 22 numbers on its dial? Assume that no numbers repeat. (Combination locks are really permutation locks.)
A. 9240 B. 351,120 C. 1,053,400 D. 175,560
Find all fixed points for the function by setting the function equal to x and solving the resulting equation for x.f(x) = x2 - 6x + 10
A. -7, -7 B. 5, -2 C. 5, 2 D. 4, 1
Find the vertex, axis of symmetry, and y-intercept of the parabola that has the given focus and directrix.Focus (-5, 6), directrix y = 4
A. (-5, 5), x = -5,
B. (-5, 10), x = 10,
C. (-5, 5), y = -5, (0, 5)
D. (5, -5), y = 5, (0, -5)
Solve the problem.Find the first six terms of the sequence with first term -1 and nth term an = 3 - an-1.
A. -1, 2, -1, 2, -1, 2 B. -1, -4, 1, -4, -1, -4 C. -1, 2, 1, 2, 1, 2 D. -1, 4, -1, 4, -1, 4