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range of 6/(x-1)+3/(x+1)

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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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range 6x−1 +3x+1

Solution

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

Interval Notation

(−∞ , 0)∪(0, ∞ )

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Function range definition

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

The function range is the combined domain of the inverse functions

Find the inverse function(s) of: 6x−1 +3x+1

Inverse of 6x−1 +3x+1 : 9+√81−4x(−x−3)2x , 9−√81−4x(−x−3)2x

9+√81−4x(−x−3)2x , 9−√81−4x(−x−3)2x

Find the domain of each inverse function

Domain of 9+√81−4x(−x−3)2x : x<0 or x>0

Domain of 9−√81−4x(−x−3)2x : x<0 or x>0

Combine the intervals

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

Solve instead

domain 6x−1 +3x+1

inverse 6x−1 +3x+1

intercepts 6x−1 +3x+1

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

range of 6/(x-1)+3/(x+1)

Solution

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