Given the following table with selected values of the functions f (x) and g(x), determine f (g(2)) − g(f (−1)). x −3 −2 −1 0 1 2
f (x) 16 13 −2 −5 −11 −20
g(x) −10 −3 1 14 8 0

Step-by-step explanation:

First what we must do is rewrite the table to find a solution:

0.25^x −0.75x+1

   64     3.25  

   16     2.5  

    4      1.75  

    1      1

 0.25     0.25  

 0.0625 −0.5    

 0.015625  −1.25  

We see where the values of the function are the same:

x = 0 (1)

x = 1 (0.25)

x = 0

x = 1

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are