For the given functions f and g , find the indicated composition.f(x) = -4x + 7,g(x) = 3x + 9(g?f)(x)
A. -12x + 43
B. 12x + 30
C. -12x + 30
D. -12x - 12
Answer: C
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Solve the problem.A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 9 m down from the top of the dome the ceiling is 25 m wide, find the best location for the light source.
A. 17.4 m down from the top B. 8.6 m down from the top C. 4.3 m down from the top D. 12.9 m down from the top
Find the nth, or general, term.1, 4, 16, . . .
A. 4n B. 4n-1 C. 4(n - 1) D. 41-n
Solve the problem.How many arrangements of answers are possible in a multiple-choice test with 7 questions, each of which has 5 possible answers?
A. 21 B. 78,125 C. 2520 D. 42
Add or subtract as indicated.12
+ 2
+ 6
+ 20
A. 20
B. 20
+ 20
C. 51
D. 40