Question

What number is not apart of the domain of the function g(x) = (x+2)/(x-1)? 1) -2 2) 1 3) 2 4) 3

Answer 1

option 2

Explanation:

given

g(x) =
`(x+2)/(x-1)`

the denominator cannot be zero as this would make g(x) undefined

Equating the denominator to zero and solving gives the value that x cannot be

x - 1 = 0 ⇒ x = 1 ← excluded value

the domain is { x : x ∈ R , x ≠ 1 }