Pleas ! the table below shows some values of f(x) and g(x) for different values of x: x f(x) = 2x + 24 g(x) = 5(0.5)x −2 20 −1 0 5 1 2.5 2 28 complete the chart and determine the solution of the equation f(x) = g(x). x = −2 x = −1 x = 1 x = 20

First we rewrite the functions:
 f (x) = 2x + 24
 g (x) = 5 (0.5) ^ x

 We write the table now correctly completing the missing values:

 x           f(x) = 2x + 24            g(x) = 5(0.5)^x 
 −2                    20                              20
 −1                    22                              10
   0                    24                               5 
   1                    26                             2.5 
   2                    28                            1.25

 We observe that according to the table:
 f (x) = g (x) for x = -2

 
 x = -2

The reporter forgot to multiply the decimal by 100, making it 25%