Answer:
The input value that produces the same output value in both charts is 2.
Step-by-step explanation:
You are given two functions [tex]f(x)=-0.5x+2[/tex] and [tex]g(x)=2x-3[/tex] with tables
[tex]\begin{array}{cc}x&f(x)\\-3&3.5\\-2&3\\-1&2.5\\0&2\\1&1.5\\2&1\\3&0.5\end{array}[/tex]
and
[tex]\begin{array}{cc}x&g(x)\\-3&\\-2&\\-1&\\0&\\1&\\2&\\3&\end{array}[/tex]
First, fill in the second table:
[tex]g(-3)=2\cdot (-3)-3=-6-3=-9\\ \\g(-2)=2\cdot (-2)-3=-7\\ \\g(-1)=2\cdot (-1)-3=-5\\ \\g(0)=2\cdot 0-3=-3\\ \\g(1)=2\cdot 1-3=-1\\ \\g(2)=2\cdot 2-3=1\\ \\g(3)=2\cdot 3-3=3[/tex]
Hence, the second table is
[tex]\begin{array}{cc}x&g(x)\\-3&-9\\-2&-7\\-1&-5\\0&-3\\1&-1\\2&1\\3&3\end{array}[/tex]
The input value that produces the same output value in both charts is 2.
