procedure Schetsen; const deel : integer = 10; veel : integer = 10000; var k,i,j : integer; t,x,y,a,b : double; begin xmin := 0; xmax := 1; ymin := 0; ymax := 0.25; TV(Form1.Image1); ClearDevice; Form1.Image1.Canvas.Pen.Width := 3; for k := 0 to veel do begin t := k/deel; a := 1/2; b := sqrt(1/12); if t > 0 then a := 1/t-1/(exp(t)-1); if t > 0 then b := sqrt(1/sqr(t)-exp(t)/sqr(exp(t)-1)); x := a + b; y := a - b; i := x2i(x); j := y2j(y); if k = 0 then Form1.Image1.Canvas.MoveTo(i,j) else Form1.Image1.Canvas.LineTo(i,j); end; end;The above program snippet is the core of some modest graphics machinery, resulting in:
So yes, it seems that we have a function $\;g(x)\;$ as supposed by the OP.
But how about its explicit form?