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

70,000 + 6,000 + 800 + 30

step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: