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domain of 30-x^3

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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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Steps Examples

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expandir (6−4x²)(x²+5x−2)

Solution

−4x⁴−20x³+14x²+30x−12

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Solution steps

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Function range definition

The set of values of the dependent variable for which a function is defined

Find the minimum and maximum value in each defined interval and unite the results

Domain of x¹¹x⁻³ : x<0 or x>0

Simplify x¹¹x⁻³ : x¹⁴

Extreme Points of x¹⁴: Minimum(0, 0)

Find the range for the interval −∞ <x<0: 0<f(x)<∞

Find the range for the interval 0<x<∞ : 0<f(x)<∞

Combine the ranges of all domain intervals to obtain the function range

f(x)>0 or f(x)>0

f(x)>0

Functions Domain of Inverse Examples

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Explique como encontrar o intervalo de uma função

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

domain of 30-x^3

Solution

Solution steps

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