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diretriz y=4x^2+1

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range (2x²+6)(2x²−6)

Solution

f(x)≥ −36

Interval Notation

[−36, ∞ )

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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: (2x²+6)(2x²−6)

Inverse of (2x²+6)(2x²−6): √√x+362 , −√√x+362 , √−√x+362 , −√−√x+362

√√x+362 , −√√x+362 , √−√x+362 , −√−√x+362

Find the domain of each inverse function

Domain of √√x+362 : x≥ −36

Domain of −√√x+362 : x≥ −36

Domain of √−√x+362 : x=−36

Domain of −√−√x+362 : x=−36

Combine the intervals

f(x)≥ −36

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domain (2x²+6)(2x²−6)

inverse (2x²+6)(2x²−6)

intercepts (2x²+6)(2x²−6)

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

diretriz y=4x^2+1

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diretriz y=4x^2+1

Solution

Solution steps

Solve instead

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Graph