range of (5x^2-2)(3x^2-3)

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

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range (5x²−2)(3x²−3)

Solution

f(x)≥ −2720

Interval Notation

[−2720 , ∞ )

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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: (5x²−2)(3x²−3)

Inverse of (5x²−2)(3x²−3): √21+√60x+8130 , −√21+√60x+8130 , √21−√60x+8130 , −√21−√60x+8130

√21+√60x+8130 , −√21+√60x+8130 , √21−√60x+8130 , −√21−√60x+8130

Find the domain of each inverse function

Domain of √21+√60x+8130 : x≥ −2720

Domain of −√21+√60x+8130 : x≥ −2720

Domain of √21−√60x+8130 : −2720 ≤ x≤ 6

Domain of −√21−√60x+8130 : −2720 ≤ x≤ 6

Combine the intervals

f(x)≥ −2720

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domain (5x²−2)(3x²−3)

inverse (5x²−2)(3x²−3)

intercepts (5x²−2)(3x²−3)

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

range of (5x^2-2)(3x^2-3)

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