Question

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

Answer 1

Okay Do you know definition of domain ?

Answer 2

yes

Answer 3

the question says state the domain of this rational question

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

yes so do you know which one it would be

Answer 8

So at which value of x denominator become zero ?

Answer 9

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)