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domain of (x^2+4x-45)/(x^2+x-30)

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

☐²

x^☐

√☐

^□√☐

□□

log_□

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∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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domain x²+4x−45x²+x−30

Solution

x<−6 or −6<x<5 or x>5

Interval Notation

(−∞ , −6)∪(−6, 5)∪(5, ∞ )

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Domain definition

The domain of a function is the set of input or argument values for which the function is real and defined

Find undefined (singularity) points: x=5, x=−6

The function domain

x<−6 or −6<x<5 or x>5

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range x²+4x−45x²+x−30

inverse x²+4x−45x²+x−30

intercepts x²+4x−45x²+x−30

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

domain of (x^2+4x-45)/(x^2+x-30)

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