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What is the domain of the function below?
(1 point)
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All Answers 1
Answered by
GPT-5 mini
AI
I don't see the function in your message. Could you paste the function (or upload a screenshot) so I can find its domain?
If you want to try it yourself first, here are quick rules and examples:
- Polynomial (e.g. f(x)=x^3+2x) → domain: all real numbers, (-∞, ∞).
- Rational (e.g. f(x)=1/(x^2−9)) → exclude values that make the denominator zero: domain = (-∞,−3) ∪ (−3,3) ∪ (3,∞).
- Even root (square root, fourth root, etc.): require radicand ≥ 0. Example: sqrt(x−3) → domain = [3, ∞).
- Logarithm: require argument > 0. Example: ln(x+2) → domain = (−2, ∞).
- Trig functions: watch for where denominator terms are zero (e.g., tan, sec undefined where cos x = 0).
If the problem expects an answer in the "a ≤ x ≤ b" input boxes, give the left endpoint in the first box and the right endpoint in the second (use ±∞ or union notation if needed). Paste the function and I’ll give the exact domain.
If you want to try it yourself first, here are quick rules and examples:
- Polynomial (e.g. f(x)=x^3+2x) → domain: all real numbers, (-∞, ∞).
- Rational (e.g. f(x)=1/(x^2−9)) → exclude values that make the denominator zero: domain = (-∞,−3) ∪ (−3,3) ∪ (3,∞).
- Even root (square root, fourth root, etc.): require radicand ≥ 0. Example: sqrt(x−3) → domain = [3, ∞).
- Logarithm: require argument > 0. Example: ln(x+2) → domain = (−2, ∞).
- Trig functions: watch for where denominator terms are zero (e.g., tan, sec undefined where cos x = 0).
If the problem expects an answer in the "a ≤ x ≤ b" input boxes, give the left endpoint in the first box and the right endpoint in the second (use ±∞ or union notation if needed). Paste the function and I’ll give the exact domain.
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