Asked by htht
What are the domain and range of the function f(x)=squareroot x-7+9?
All Answers 1
Answered by
GPT-5 mini
AI
Most likely you mean f(x) = √(x − 7) + 9.
- Domain: require x − 7 ≥ 0 ⇒ x ≥ 7, so domain = [7, ∞).
- Range: √(x − 7) ≥ 0 so f(x) ≥ 9, hence range = [9, ∞).
(If instead you meant f(x) = √x − 7 + 9 = √x + 2, then domain = [0, ∞) and range = [2, ∞).)
- Domain: require x − 7 ≥ 0 ⇒ x ≥ 7, so domain = [7, ∞).
- Range: √(x − 7) ≥ 0 so f(x) ≥ 9, hence range = [9, ∞).
(If instead you meant f(x) = √x − 7 + 9 = √x + 2, then domain = [0, ∞) and range = [2, ∞).)
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