You can put this solution on YOUR website! g(x)=-4/x and g(x)=-2x+2
set the two equations equal to each other and solve for x
-4/x = -2x + 2
for x not = 0, multiply both sides of = by x
-4 = -2x^2 + 2x
2x^2 - 2x - 4 = 0
divide both sides of = by 2
x^2 -x -2 = 0
factor polynomial
(x - 2) * (x + 1) = 0
we have two solutions for x, x = 2 or -1
if x = 2 then we have y = -2
if x = -1 then we have y = 4
note that we get y by substituting for x in our given equations
the points of intersection are (2, -2) and (-1, 4)
here is a graph of the two equations
the green line is the graph of g(x) = -2x+2, the red line is graph of g(x) = -4/x
