Graph the system: f(x)= 3/x-2; f(x)= 1/2x + 2

We have the functions,

and .

After plotting both the functions, we see that,

The graph of F(x) is given below, which has the y-intercept at (0,-1.5) and its horizontal asymptote is x-axis.

Also, the graph of f(x) is a straight line passing through (-4,0) and (0,2).

Further, we can see that the two graphs have intersection points as (-4.873,-0.436) and (2.873,3.436).

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: