Answer:
the solution for x is x=40
Step-by-step explanation:
(p-3)[x²+4]+4=0
(p-3)[x²+4]=-4
(p-3)=-4/x²+4
p=-4/x²+4+3
p=-4+3(x²+4)/x²+4
p= -4+3x²+12/x²+4
p=8+3x²/x²+4
Okay so, we switch out f(x) with y - I’m sure you know this and we get y=2+3x/x-2.
Now just interchange x and y -> x=2+3y/y-2, now multiply both sides with (y-2), we get (y-2)x=2+3y.
Multiply x with the brackets, getting xy-2x=2+3y. Move 3y to the left changing it’s sign, also for -2x to the right: xy-3y=2+2x.
Factor out y from (xy-3y) and get (3-x)y=2+2x - now divide both sides by (3-x) resulting in y=2+2x/3-x .