Given is the functionfp(x)= 4/x + p Withpelement ofR

Asked:

The line with equation x = p intersects the graph of fp(x) in point Sp. Determine the values of the y-coordinate of Sp can take on.

I come to the next, but that is not good, according to the answer sheet , that gives: Bsp = (<=,-4] and [4,=>)

I substitute for x p => 4/p + p =0 => 4 + p^2=0 => p= +-√4

Who can see what goes wrong with my development?