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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

Given The Following Table With Selected Values Of The Functions F X And Gx Determine F G2 Gf 1x 5 4 1 2 4 7f X 11 9 1 3 7 13gx 10 8 2 4 8 14A 8B 5 C 2D 1 class=

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Answer:

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

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