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symmetrie (y^2)^3

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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bereich 19+x²

Solution

0<f(x)≤19

Interval Notation

(0, 19 ]

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Definition Funktionsbereich

Die Menge der Werte der abhängigen Variablen, für die eine Funktion definiert ist

Schreibe um

19+x² =y

Multipliziere beide Seiten mit 9+x²

1=y(9+x²)

Der Bereich ist die Menge an y, für die die Diskriminante größer oder gleich Null ist

Diskriminante 1=y(9+x²): −36y²+4y

−36y²+4y≥ 0 : 0≤ y≤ 19

Prüfe, ob die Bereichsendpunkte innerhalb des Intervalls liegen

y=0 : ausgeschlossen

y=19 : inbegriffen

Deshalb ist der Bereich:

0<f(x)≤ 19

Solve instead

domäne 19+x²

invers 19+x²

interzeption 19+x²

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

symmetrie (y^2)^3

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