Question

Plz solve this question mhanifa

Answer 1

• Option D

Explanation:

Given:

• f(x) = 1/ (x - 3)
• g(x) =
  `√(x+5)`

The composite function f · g(x) is:

• f(g(x)) = 1 / (
  `√(x+5) - 3`)

Restrictions are:

• x + 5 ≥ 0 ⇒ x ≥ - 5

and

• 
  `√(x+5)` ≠ 3 ⇒ x + 5 ≠ 9 ⇒ x ≠ 4

Combination of the above gives us the domain:

• x ∈ [ - 5, 4) ∪ (4, +∞)

Correct choice is D