y = (x - 2)/(x + 4) state the domain

Question

y =  (x - 2)/(x + 4) state the domain

anonymous · Answer

Okay Do you know definition of domain  ?

anonymous · Answer

yes

anonymous · Answer

the question says state the domain of this rational question

anonymous · Answer

So  can you  first tell me  at which value of x   this function is  undefined  ?

anonymous · Answer

A)
(-∞, ∞)	
B)
(-∞, -4) ∪ (-4, ∞)	
C)
(-∞, 0) ∪ (0, ∞)	
D)
(-∞, 1) ∪ (1, ∞)
these are the choices

anonymous · Answer

f(x)  is undefined  when denominator become zero  right  ?

anonymous · Answer

yes so do you know which one it would be

anonymous · Answer

So  at which value  of  x  denominator   become zero ?

anonymous · Answer

plug denominator  equal to zero   so  x + 4 = 0 & solve for x
So    x = -4  

So at  x = -4  function become  undefined  ..

therefore  domain is  all  real values  except   -4  that is  (-inf , -4)U ( -4 , inf)