Question

H(x)= 4/x-5 Determine for each x-value whether it is in the domain of h or not.

(A) 0

(b) 4

(C) 5

Answer 1

both 0 and 4 are in the domain but 5 is not

Explanation:

Answer 2

x = 5 is not in the domain

Explanation:

Given

f(x) =
`(4)/(x-5)`

The denominator cannot equal zero as this would make f(x) undefined.

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

x - 5 = 0 ⇒ x = 5 ← excluded value

Thus the domain is all real except x ≠ 5