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Tatiana [17]
3 years ago
12

Plz solve this question mhanifa

Mathematics
1 answer:
IrinaK [193]3 years ago
7 0

Answer:

  • Option D

Step-by-step explanation:

<u>Given:</u>

  • f(x) = 1/ (x - 3)
  • g(x) = \sqrt{x+5}

<u>The composite function f · g(x) is:</u>

  • f(g(x)) = 1 / ( \sqrt{x+5}  - 3)

<u>Restrictions are:</u>

  • x + 5 ≥ 0 ⇒ x ≥ - 5

and

  • \sqrt{x+5} ≠ 3 ⇒ x + 5 ≠ 9 ⇒ x ≠ 4

<u>Combination of the above gives us the domain:</u>

  • x ∈ [ - 5, 4) ∪ (4, +∞)

Correct choice is D

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Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.

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2 years ago
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