Question

What input value produces the same output value for the two fictions on the graph?

A)x=-3
B)x=-1
C)x=1
D)x=3

Answer 1

Answer : x=3

we need to find the input value produces the same output value for the two fictions on the graph

To find input value x that gives the same output y , we look at the intersection of both graphs

Both lines on graph intersects at (3,-1)

When input x=3 then output y=-1

Now we verify with given equations

Plug in 3 for x in f(x)

`f(x)= (-2)/(3)x+ 1`

`f(3)= (-2)/(3)(3) + 1=-1`

Plug in 3 for x in g(x)

`g(x)= (1)/(3)x-2`

`g(3)= (1)/(3)(3)-2=-1`

So when input x=3 the output is y=-1

x=3 is the final answer