Question

Which input value produces the same output value for the two functions on the graph?

f(x)
+
3
+
f(x) =-3x+1
g(x) = x-2
54 -3 -2 -1
g(x)
PT

Answer 1

The input value is 3/4

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

`f(x)=-3x+1` ---> equation A

`g(x)=x-2` ---> equation B

Equate equation A and equation B

`x-2=-3x+1`

solve for x

`3x+x=1+2`

`4x=3`

`x=(3)/(4)`

therefore

The input value is 3/4