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

sara wants to find the input value that produces the same output for the functions represented by the tables.\nwhat is the input value that produces the same output value in both charts?\n-2\n-1\n1\n2

sara wants to find the input value that produces the same output for the functions represented by the tables.\nwhat is the input value that produces the same output value in both charts?\n-2\n-1\n1\n2

Answer

Explanation:

Step1: Calculate (g(x)) values

For (g(x)=2x - 3): When (x=-3), (g(-3)=2\times(-3)-3=-6 - 3=-9) When (x=-2), (g(-2)=2\times(-2)-3=-4 - 3=-7) When (x=-1), (g(-1)=2\times(-1)-3=-2 - 3=-5) When (x = 0), (g(0)=2\times0-3=-3) When (x = 1), (g(1)=2\times1-3=2 - 3=-1) When (x = 2), (g(2)=2\times2-3=4 - 3=1) When (x = 3), (g(3)=2\times3-3=6 - 3=3)

Step2: Compare (f(x)) and (g(x)) values

We have (f(x)=-0.5x + 2). We check for each (x) value: For (x = 2), (f(2)=-0.5\times2+2=-1 + 2=1) and (g(2)=1)

Answer:

(2)