Question

Find the domain of: F(x)= x^2-4/2x^3-32x

Answer 1

The domain of the equation is infinity.

Answer 2

Hello : 
F(x)= x^2-4/2x^3-32x
F exist if : 2x^3-32x ≠ 0
2x^3-32x = 0
2x (x²-16)=0
2x(x-4)(x+4)=0
2x=0 or x-4=0 or x+4 =0
x=0 or x=4 or x= -4
the domain is : D= ] -∞ ; -4[  ∪ ] -4 ; 0[∪ ] 0 ; 4[ ∪ ]4 ; + ∞[