tex] A) [-3;1]u(1;3] B) [-3;1)u(1;3) C) [1;3] D) (-\infty};1)u(3; + \infty} ) E)...

July 2022 1 21 Report

Найдите область определения функции:
y = [tex] \frac{ \sqrt{9- x^{2} } }{(x-3)(x+5)} [/tex]
A) [-3;1]u(1;3]
B) [-3;1)u(1;3)
C) [1;3]
D) (-\infty};1)u(3; + \infty} )
E) [-3;3)

Answers & Comments

mukus13

Verified answer

$y= \frac{ \sqrt{9- x^{2} } }{(x-3)(x+5)}$

$\left \{ {{9- x^{2} \geq 0} \atop {(x-3)(x+5) \neq 0}} \right.$

$\left \{ {{(3-x)(3+x) \geq 0} \atop {(x-3)(x+5) \neq 0}} \right.$

1)
$(3-x)(3+x) \geq 0$
решаем методом интервалов и получаем
$x$ ∈ $[-3;3]$

2)
$(x-3)(x+5) \neq 0$
$x \neq 3$ или $x \neq -5$

объединяем (1) и (2) и получаем
$x$ ∈ $[-3;3)$

Ответ: $E) [-3;3)$

7 votes Thanks 3

Answers & Comments

Verified answer

pomogite pozhalujsta reshite5a296213e78d6c6a5567ce29b2c16a8 57452

20 litrovyj kontejner soderzhit gaz v 350 k pod davleniem 831 megapaskalej skol

m3 najdite molyarnuyu massu gaza

vstavte propushennye znaki prepinaniya po mere togo kak my othodili ot vodorazde

vstavte propushennye znaki prepinaniya i utesy i more i gory i bereg vse eto pri

vstavte propushennye znaki prepinaniya samymi interesnymi byli rasskazy starika

ukazhite v kakom ryadu sobrany neopredelennye mestoimeniya s defisom a koekak

slozhnopodchinennoe predlozhenie s pridatochnym ustupki a techenie usilivalos kog

tex]...

ukazhite kolichestvo propushennyh zapyatyh v predlozhenii zdes v etih molchalivyh go

рекомендуемые вопросы

Helpful Links

Helpful Social