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

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

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range x+1x−1

Solution

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

Interval Notation

(−∞ , 1)∪(1, ∞ )

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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: x+1x−1

Inverse of x+1x−1 : 1+xx−1

1+xx−1

Find the domain of each inverse function

Domain of 1+xx−1 : x<1 or x>1

Combine the intervals

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

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domain x+1x−1

inverse x+1x−1

intercepts x+1x−1

Gram-Schmidt Examples

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Notebook

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

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

Solution

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