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limit as x approaches infinity of (5x^3+1)/(x^2-4)

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

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inverse (5x²−2)(3x²−3)

Solution

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

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Function Inverse definition

A function g is the inverse of function f if for y=f(x), x=g(y)

y=(5x²−2)(3x²−3)

Replace x with y

x=(5y²−2)(3y²−3)

Solve for y, x=(5y²−2)(3y²−3)

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

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domain (5x²−2)(3x²−3)

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intercepts (5x²−2)(3x²−3)

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

limit as x approaches infinity of (5x^3+1)/(x^2-4)

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