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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

Respuesta :

carlosego
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

Answer:

x=0 and x=1

Step-by-step explanation:

Given : The table shows values for functions f(x) and g(x)

[tex]f(x)=0.25x[/tex] and [tex]g(x)=-0.75x+1[/tex]

To find : What is the solution to f(x)=g(x) ?

Solution :

First we rewrite the table to find a solution:

x            [tex]f(x)=0.25x[/tex]         [tex]g(x)=-0.75x+1[/tex]

-3                    64                                   3.25 

-2                    16                                    2.5

-1                     4                                      1.75

0                     1                                       1

1                      0.25                                 0.25

2                     0.625                               -0.5

3                     0.015625                          -1.25

We  have to find where is the solution to f(x)=g(x)

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

For  x=0,

f(x)=g(x)=1

For  x=1,

f(x)=g(x)=0.25

Therefore, Option 4 and 5 x=0 and x=1 are correct.

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