In this question , we have a graph given, and we have to find the x coordinate of the intersection point .
From the graph , the input value is approximately 3.3 .
In the graph,
[tex] f(x) =3 [/tex]
And for g(x), we need the slope and y intercept .
Slope is the ratio of rise and run .
Here rise equals 3 units and run equals 2 units. And the graph touch the y axis at -2 .
So the equation of g(x) is
[tex] g(x) = \frac{3}{2}x -2 [/tex]
We need to do
[tex] f(x)= g(x) [/tex]
Substituting the values of the two functions, we will get
[tex] 3 = \frac{3}{2}x -2 [/tex]
Adding 2 to both sides
[tex] 5 = \frac{3}{2}x [/tex]
Cross multiplication
[tex] 10 =3x
\\
x = \frac{10}{3} [/tex]
[tex] x = 3.3 [/tex]
So the input value is 3.3 approx
