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 51 2.52 28 Complete the chart and determine the solution of the equation f(x) = g(x). (5 points) x = −2 x = −1 x = 1 x = 20

The first thing we must do for this case is to complete the table.
 We have then:
 For f (x) = 2x + 24:
 f (-2) = 2 (-2) + 24 = 20
 f (-1) = 2 (-1) + 24 = 22
 f (0) = 2 (0) + 24 = 24
 f (1) = 2 (1) + 24 = 26
 f (2) = 2 (2) + 24 = 28


 For g (x) = 5 (0.5) ^ x:
 g (-2) = 5 (0.5) ^ - 2 = 20
 g (-1) = 5 (0.5) ^ - 1 = 10
 g (0) = 5 (0.5) ^ 0 = 5
 g (1) = 5 (0.5) ^ 1 = 2.5
 g (2) = 5 (0.5) ^ 2 = 1.25
 The table is:
 x     f(x)   g(x)
 -2   20    20
 -1   22    10
 0    24    5
 1    26    2.5
 2    28    1.25
 f (x) = g (x) occurs for:
 x = -2

 Answer:
 -2    20    20
 -1    22    10
 0     24    5
 1     26    2.5
 2     28    1.25
 f (x) = g (x) ----> x = -2