Question

15 points attached file

Answer 1

Answer:

Step-by-step explanation:

x=-3

Answer 2

Answer:

x = 3 renders the same output for both functions

Step-by-step explanation:

From the graph, we see that at the point x = 3 both lines intersect. This means that their y value coincide for that value of x.

We check using the functions' expressions to verify that our answer is correct.  Then we evaluate both functions separately at x = 3:

$f(3)= -\frac{2}{3} (3) + 1 = -2 + 1 = -1\\g(3) = \frac{1}{3} (3) -2 = 1-2 =-1$

So we conclude that effectively, the input x=3 produces equal output value (-1) for the two given functions.