Given the following table with selected values of the functions f (x) and g(x), determine f (g(2)) − g(f (−1)). x −5 −4 −1 2 4 7
f (x) 11 9 −1 −3 −7 −13
g(x) −10 −8 −2 4 8 14

A) −8

B) −5

C) −2

D) 1

f (g(2)) − g(f (−1)) = -5

Step-by-step explanation:

Find the value for each term:

1.   f (g(2)):  g(2) is 4, so we get f(4), which is = -3

2.  g(f (−1)):  f(-1) is -1, so we get g(-1), which is = -2

Now we can write:

f (g(2)) − g(f (−1))

-3 -2

= - 5

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: