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nirlysenko
@nirlysenko
August 2022
1
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Найдите область определения выражения
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Найдите область определения выражения
f(x)=√(x- 8/(x-2))
область определения выражения - (x- 8/(x-2)) ≥0⇔
(x²-2x-8)/(x-2)≥0 (x+2)(x-4)/(x-2)≥0
- + - +
----------------[-2)/////////////////(2)-----------------[4)////////////////////
область определения x∈[-2;2)∪[4;+∞)
f(x)=√(4/(x+5)+x)
(4/(x+5)+x) ≥0⇔ (x²+5x+4)/(x+5)≥0⇔ (x+4)(x+1)/(x+5)≥0
- + - +
----------------(-5)/////////////////(-4]-----------------[-1)////////////////////
область определения x∈(-5;-4]∪[-1;+∞)
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Answers & Comments
Verified answer
Найдите область определения выраженияf(x)=√(x- 8/(x-2))
область определения выражения - (x- 8/(x-2)) ≥0⇔
(x²-2x-8)/(x-2)≥0 (x+2)(x-4)/(x-2)≥0
- + - +
----------------[-2)/////////////////(2)-----------------[4)////////////////////
область определения x∈[-2;2)∪[4;+∞)
f(x)=√(4/(x+5)+x)
(4/(x+5)+x) ≥0⇔ (x²+5x+4)/(x+5)≥0⇔ (x+4)(x+1)/(x+5)≥0
- + - +
----------------(-5)/////////////////(-4]-----------------[-1)////////////////////
область определения x∈(-5;-4]∪[-1;+∞)