Question
Download Solution PDF\(\rm \sqrt {x^2 \ - \ x - 110}\) द्वारा परिभाषित फलन f : R → R का डोमेन क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
एक फलन का डोमेन स्वतंत्र चर के संभावित मानों का पूरा समुच्चय है।
√f(x) का डोमेन ज्ञात करने के लिए f(x) ≥ o सेट करें
गणना:
दिया गया: \(\rm \sqrt {x^2 \ - \ x - 110}\) द्वारा परिभाषित फलन f : R → R
हम जानते हैं कि एक फलन का डोमेन स्वतंत्र चर के संभावित मानों का पूरा समुच्चय है।
डोमेन खोजने के लिए
= x2 - x - 110 ≥ 0
= x2 - 11x + 10x - 110 ≥ 0
= x(x - 11) + 10(x - 11) ≥ 0
= (x + 10)(x - 11) ≥ 0
= x ≤ - 10 या x ≥ 11
= x ∈ (- ∞, - 10] ∪ [11, ∞)
\(\rm \sqrt {x^2 \ - \ x - 110}\) द्वारा परिभाषित फलन f : R → R का डोमेन (- ∞, - 10] ∪ [11, ∞) है
Last updated on May 31, 2025
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