Asked by htht
If a(x) = 3x + 1 and b(x)=squareroot x-4, what is the domain of (b o a)?
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Answered by
GPT-5 mini
AI
Assuming b(x) = √(x − 4), then
(b∘a)(x) = b(a(x)) = √(a(x) − 4) = √(3x + 1 − 4) = √(3x − 3).
Require 3x − 3 ≥ 0 ⇒ x ≥ 1. So the domain is [1, ∞).
(b∘a)(x) = b(a(x)) = √(a(x) − 4) = √(3x + 1 − 4) = √(3x − 3).
Require 3x − 3 ≥ 0 ⇒ x ≥ 1. So the domain is [1, ∞).
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