If there is an intersection point between the image of inverse scale function y = 2 / X and the image of primary function y = kx-4, the value range of K is obtained Hope as soon as possible

If there is an intersection point between the image of inverse scale function y = 2 / X and the image of primary function y = kx-4, the value range of K is obtained Hope as soon as possible

(for reference only)
The point of intersection means that the coordinates of that point satisfy both functions
So let's combine the two formulas and let the formula have a solution
2/x =kx-4
Let's have a solution,
kx^2 -4x -2=0
one
When k = 0, x = - 0.5 has intersection
two
When k is not equal to zero, let the discriminant be greater than or equal to zero, solve the range of K, and it will be solved
I don't know how many intersections to find (mobile phone can't see a few words), when there are two intersections, the discriminant is greater than zero (not equal to zero)