Sarah wants to find the input value that produces the same output for the functions represented by the

Hence,  the input value that produces the same output for the functions represented by the tables is:

x=2

Step-by-step explanation:

We are given a function f(x) and  g(x) as:

and

Clearly the function g(x) and f(x) are linear function.

We have to find such input value that gives the same output value for the function.

i.e. we have to find x such that:

g(x)=f(x)

i.e. -0.5x+2=2x-3

⇒ 2x+0.5x=2+3

⇒ 2.5x=5

⇒ x=5/2.5

⇒ x=2

Hence,  the input value that produces the same output for the functions represented by the tables is:

x=2

Hence,  the input value that produces the same output for the functions represented by the tables is:

x=2

We are given a function f(x) and  g(x) as:

[tex]f(x)=-0.5x+2[/tex] and [tex]g(x)=2x-3[/tex]

Clearly the function g(x) and f(x) are linear function.

We have to find such input value that gives the same output value for the function.

i.e. we have to find x such that:

g(x)=f(x)

i.e. -0.5x+2=2x-3

⇒ 2x+0.5x=2+3

⇒ 2.5x=5

⇒ x=5/2.5

⇒ x=2

Hence,  the input value that produces the same output for the functions represented by the tables is:

x=2

Hence,  the input value that produces the same output for the functions represented by the tables is:

x=2

We are given a function f(x) and  g(x) as:

[tex]f(x)=-0.5x+2[/tex] and [tex]g(x)=2x-3[/tex]

Clearly the function g(x) and f(x) are linear function.

We have to find such input value that gives the same output value for the function.

i.e. we have to find x such that:

g(x)=f(x)

i.e. -0.5x+2=2x-3

⇒ 2x+0.5x=2+3

⇒ 2.5x=5

⇒ x=5/2.5

⇒ x=2

Hence,  the input value that produces the same output for the functions represented by the tables is:

x=2

the answer is 2

Step-by-step explanation:

The answer is d  (2)

because  g(2) =  2(2) - 3 = 1 and f(2) = 1 (see the table)

x=2

Step-by-step explanation:

Unfortunately, there are no given tables. To solve the given problem, the functions which fits the values in the tables must be known. This process is called modeling. One could test if the values fit a linear model, a quadratic model, or any other model. After knowing the functions, equating the two functions, would yield the input value that gives the same output.