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discontinuidad x²+3x−4x²+x−12

Solution

Discontinuidad eliminable en x=−4, Discontinuidad esencial en x=3

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Solution steps

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1√1−x+√x =1√x

Utilizar multiplicación cruzada (regla de tres): Si ab =cd entonces a· d=b· c

1· √x=(√1−x+√x)· 1

Desarrollar 1· √x: √x

Desarrollar (√1−x+√x)· 1: √1−x+√x

√x=√1−x+√x

Eliminar raíces cuadradas

x²−2x+1=4x−4x²

Resolver x²−2x+1=4x−4x²: x=1, x=15

x=1, x=15

Verificar las soluciones: x=1 Verdadero, x=15 Falso

La solución es

x=1

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domínio x²+3x−4x²+x−12

rango x²+3x−4x²+x−12

inversa x²+3x−4x²+x−12

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

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