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x^2-8x+15<0

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

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intervalo x²+4x−45x²+x−30

Solution

f(x)<1 or 1<f(x)<1411 or f(x)>1411

Interval Notation

(−∞ , 1)∪(1, 1411 )∪(1411 , ∞ )

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Solution steps

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Definição de imagem de função

O conjunto de valores da variável dependente para a qual uma função é definida

Encontrar o valor mínimo e máximo em cada intervalo definido e unificar os resultados

Domínio de x²+4x−45x²+x−30 : x<−6 or −6<x<5 or x>5

Simplificar x²+4x−45x²+x−30 : x+9x+6

Pontos extremos de x+9x+6 : Nenhum

Encontrar a imagem para o intervalo −∞ <x<−6: −∞ <f(x)<1

Encontrar a imagem para o intervalo −6<x<5: 1411 <f(x)<∞

Encontrar a imagem para o intervalo 5<x<∞ : 1<f(x)<1411

Unir as imagens de todos os intervalos de domínio para obter a imagem de função

f(x)<1 or f(x)>1411 or 1<f(x)<1411

f(x)<1 or 1<f(x)<1411 or f(x)>1411

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domínio x²+4x−45x²+x−30

inversa x²+4x−45x²+x−30

interceptos x²+4x−45x²+x−30

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

x^2-8x+15<0

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x^2-8x+15<0

Solution

Solution steps

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