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domain of and range f(x)=ln (x-5)

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

☐²

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log_□

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ddx

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

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sommets y=3x²−30x+77

Solution

Minimum (5, 2)

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Trouver le sommet à l'aide de la formule du polynôme

Trouver le sommet à l'aide de la formule de la parabole

Trouver le sommet à l'aide de la formule du sommet

One step at a time

y=3x²−30x+77

Equation d'une parabole sous une forme polynomiale

Le sommet d'une parabole tournée de haut en bas de la forme y=ax²+bx+c est x_v=−b2a

Les paramètres de la parabole sont :

a=3, b=−30, c=77

x_v=−b2a

x_v=−(−30)2· 3

Simplifier

x_v=5

Intégrer x_v=5 pour trouver la valeur y_v

y_v=2

Par conséquent le vertex de la parabole est

(5, 2)

Si a<0, alors le vertex est une valeur maximale
Si a>0, alors le vertex est une valeur minimale
a=3

Minimum (5, 2)

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

domain of and range f(x)=ln (x-5)

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