Question

Find the domain of each function: g(x)= 1/x−9

Answer 1

x ∈ R, x ≠ 9

Explanation:

Given

f(x) =
`(1)/(x-9)`

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

To find the value that x cannot be, equate the denominator to zero and solve for x

x - 9 = 0 ⇒ x = 9 ← excluded value

Thus the domain is x ∈ R, x ≠ 9