log_{9}(sqrt(3))

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Steps Examples

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rango y=xx²−6x+8

Solution

f(x)≤ −√2−32 or f(x)≥√2−32

Interval Notation

(−∞ , −√2−32 ]∪ [√2−32 , ∞ )

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Solution steps

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Definición de rango de función

El conjunto de valores de la variable dependiente para la que se define una función

Reescribir como

xx²−6x+8 =y

Multiplicar ambos lados por x²−6x+8

x=y(x²−6x+8)

El rango es el conjunto de 'y' para los que el discriminante es mayor o igual a cero

Discriminante x=y(x²−6x+8): 4y²+12y+1

4y²+12y+1≥ 0 : y≤ −√2−32 or y≥ √2−32

Verificar si los puntos finales del intervalo del rango están incluidos

y=−√2−32 : Incluido

y=√2−32 : Incluido

Por lo tanto, el rango es

f(x)≤ −√2−32 or f(x)≥ √2−32

Solve instead

domínio xx²−6x+8

inversa xx²−6x+8

intersecciones xx²−6x+8

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

log_{9}(sqrt(3))

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