Solve the problem.Let g(x) = x + 7. Find a function y = f(x) so that (f ? g)(x) = 3x + 21
A. f(x) = 3(x + 1)
B. f(x) = 3x
C. f(x) = 3x + 7
D. f(x) = 3x - 7
Answer: B
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Solve the problem.The distance D in feet that an object has fallen after t seconds is given by D(t) = 16t2. (i) Evaluate D(2) and D(5). (ii) Calculate the slope of the secant line through D(2) and D(5) on the graph of D and interpret the answer in terms of an average rate of change of D from 2 to 5.
A. (i) 32, 80 (ii) 112; the object's average speed from 2 to 5 seconds is 112 ft/sec. B. (i) 64, 400 (ii) 48; the object's average speed from 2 to 5 seconds is 48 ft/sec. C. (i) 32, 80 (ii) 48; the object's average speed from 2 to 5 seconds is 48 ft/sec. D. (i) 64, 400 (ii) 112; the object's average speed from 2 to 5 seconds is 112 ft/sec.
Perform the indicated operation. Write the result in the form a + bi.(3 + 6i) - (-9 + i)
A. -6 + 7i B. 12 + 5i C. 12 - 5i D. -12 - 5i
Solve the problem.A boy is flying a kite and attaches the end of the string to a stake in the ground. How long is the string if the kite is 12 meters above the ground and the angle of elevation from the ground to the kite is Round your answer to the nearest meter.
A. 22 m B. 7 m C. 18 m D. 14 m
Perform the indicated operations and simplify the result. Leave the answer in factored form.
A. x + 6
B.
C.
D.