Question

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

Answer 1

Answer:

x = 5 is not in the domain

Step-by-step explanation:

Given

f(x) = $\frac{4}{x-5}$

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