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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 2000. 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.

Sagot :

AshishdwivedilVTidn

Solution to f(x)=g(x) will be x=0 and x=1 because functional value on these two points is same for both the functions.

it is given that

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

given table is,

x    f(x)     g(x)

-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

what is the solution of two functions?

solutions of two functions are the points where two functions intersect or we can say that points where the values of two functions is equal.

as we can see that for x=0 and for x=1, the value of functions i.e. f(0)=g(0)=1 and f(1)=g(1)=0.25

it means these two functions will intersect at x=0 and x=1 so these values(0 and 1) of x will be the solution to f(x)=g(x)

therefore, solution to f(x)=g(x) will be x=0 and x=1

to get more about solutions of two functions refer to:

https://brainly.com/question/1306680

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