Question

Pleas help !!!!!

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

Answer 1

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

Answer:
x = -2