Please help!!

Find any points of intersection between
f(x)=2x+3 amd g(x)=4/(x) -1
Leave your answers in exact form.

I've tried substitution, but think I'm not doing it right. Appreciate any help :)

Question

Please help!!

Find any points of intersection between 
f(x)=2x+3 amd g(x)=4/(x) -1
Leave your answers in exact form.

I've tried substitution, but think I'm not doing it right. Appreciate any help :)

anonymous · Answer

this is what i got when I tried to graph them.

anonymous · Answer

So just equate the two and solve for x, 
$$2x+3=4/x -1 => 2x^2+4x-4=0 => x^2+2x-2=0$$
so they intersect at two points just like what the graph above is showing, all you need now is to solve for x using the quadratic formula and substitute both in one of the equations to get the ordinates of the points.

anonymous · Answer

oh yeah! forgot about using the quadratic formula! haha, i'll try that now @gagafacea1

anonymous · Answer

great!