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bereich ln(x)

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

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ddx

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

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invers 20(x−3)(x+4)(x−3)²(x−5)

Solution

4x+10+√x²+160x+100x , 4x+10−√x²+160x+100x

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Definition Umkehrfunktion

Eine Funktion g ist die Umkehrung der Funktion f, wenn für y=f(x), x=g(y)

y=20· (x−3)(x+4)(x−3)²(x−5)

Ersetze x durch y

x=20· (y−3)(y+4)(y−3)²(y−5)

Löse nach y, x=20(y−3)(y+4)(y−3)²(y−5)

4x+10+√x²+160x+100x , 4x+10−√x²+160x+100x

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domäne 20(x−3)(x+4)(x−3)²(x−5)

bereich 20(x−3)(x+4)(x−3)²(x−5)

interzeption 20(x−3)(x+4)(x−3)²(x−5)

Order of operations multi-step without parentheses Examples

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

bereich ln(x)

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