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derivative of (sqrt(x)/(3x))

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range (7x²+6)(2x²−4)

Solution

f(x)≥ −2007

Interval Notation

[−2007 , ∞ )

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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: (7x²+6)(2x²−4)

Inverse of (7x²+6)(2x²−4): √7√16+√56x+160014 , −√7√16+√56x+160014 , √7√16−√56x+160014 , −√7√16−√56x+160014

√7√16+√56x+160014 , −√7√16+√56x+160014 , √7√16−√56x+160014 , −√7√16−√56x+160014

Find the domain of each inverse function

Domain of √7√16+√56x+160014 : x≥ −2007

Domain of −√7√16+√56x+160014 : x≥ −2007

Domain of √7√16−√56x+160014 : −2007 ≤ x≤ −24

Domain of −√7√16−√56x+160014 : −2007 ≤ x≤ −24

Combine the intervals

f(x)≥ −2007

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domain (7x²+6)(2x²−4)

inverse (7x²+6)(2x²−4)

intercepts (7x²+6)(2x²−4)

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

derivative of (sqrt(x)/(3x))

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