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bereich -log_{2}(x-1)

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

simplify solve for expand factor rationalize

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Steps Examples

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x²−4x−21>0

Solution

x<−3 or x>7

Interval Notation

(−∞ , −3)∪(7, ∞ )

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Solution steps

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Definition Funktionsbereich

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

Schreibe um

1x² =y

Multipliziere beide Seiten mit x²

1=yx²

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

Diskriminante 1=yx²: 4y

4y≥ 0 : y≥ 0

Prüfe, ob die Bereichsendpunkte innerhalb des Intervalls liegen

y=0 : ausgeschlossen

Deshalb ist der Bereich:

f(x)>0

Product Exponent Rule Examples

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Notebook

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

bereich -log_{2}(x-1)

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