Answer:
The input value is 3/4
Step-by-step explanation:
we know that
The input value that produces the same output value for the two linear functions, is the intersection point both graphs
we have
[tex]f(x)=-3x+1[/tex] ---> equation A
[tex]g(x)=x-2[/tex] ---> equation B
Equate equation A and equation B
[tex]x-2=-3x+1[/tex]
solve for x
[tex]3x+x=1+2[/tex]
[tex]4x=3[/tex]
[tex]x=\frac{3}{4}[/tex]
therefore
The input value is 3/4
