PLEASE ANSWER ASAPP!! 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) 21 17 −1 −7 −9 −27
g(x) −10 −8 −2 4 8 14
ANSWER CHOICES:
−7
−5
−2
1

answer: 32.68

step-by-step explanation:

x=2

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

step-by-step explanation: it is d