I think i plug in the values but I am unsure

f(x) =  [ 1 + 2x] / x

g(x) = 2 + x

Look at the top graph....when x = 1...plug this value into the functions and find that  ...f(1) = 3   and g(1) = 3

So....this x value is correct....the graphs intersect at (1, 3)

Likewise.....on the graph, when x = -1, plug -1 into both functions and find that....  f(-1) = 1    and g(-1) = 1

So.....this x value is also correct....the graphs also  intersect at (-1,1)

So...the x values are

x = 1

x = -1

To see why the other graph is incorrect....x = 2 , y = 0 appears to be an intersection point 

But f(2)  = 5/2 = y

And g(2) = 4 =y

So...this can't be correct because the y values are different...and both should be = 0

Does this make sense ???