The table shows values for functions f(x) and g(x) . x f(x)=0.25x g(x)=−0.75x+1 −3 64 3.25 −2 16 2.5 −1 4 1.75 0 1 1 1 0.25 0.25 2 0.0625 −0.5 3 0.015625 −1.25 What is the solution to f(x)=g(x) ? Select each correct answer. x=−3 x=−2 x=−1 x = 0 x = 1 x = 2 x = 3

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)
 answer:
 x = 0
 x = 1