A line is drawn from the origin O to a point P(x,y) in the first quadrant on the graph of y=1/x. From point P, a line is drawn perpendicular to the x-axis, meeting the x-axis at B. Express the perimeter of OPB as a function of x.
I need help setting up the equation for this. Do I just need to determine the equations for each side of the triangle (a, b, c) using the points given. So it would end up looking like x + y + hypotenuse. Then wherever I see a y, I replace it with (1/x) giving me x + (1/x) + x^2 + (1/x)^2.