Which input value produces the same output value for the two functions on the graph?
f(x) = -2/3x+1
g(x) =1/3x-2

The two functions have the same output value when their input value is

Explanation:

The two functions are and

To determine the same output value for the two functions, let us substitute the values for x-coordinate(input value) in both the functions.

First, let us substitute the values in the function

For  ⇒

For  ⇒

For  ⇒

For  ⇒

Similarly, let us substitute the values in the function

For  ⇒

For  ⇒

For  ⇒

For  ⇒

Thus, the two functions have the same output value when their input value is

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )