domínio tan(3x-5)

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

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domain tan(3x−5)

Solution

π3 n≤ x<10−3π6 +π3 n or 10−3π6 +π3 n<x<π3 +π3 n

Interval Notation

[π3 n, 10−3π6 +π3 n)∪(10−3π6 +π3 n, π3 +π3 n)

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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

Take the denominator(s) of tan(3x−5) and compare to zero: x=10−3π6 +π3 n

Periodicity of tan(3x−5): π3

Combine period: π3 n≤ x<π3 +π3 n and undefined points.
The domain is

π3 n≤ x<10−3π6 +π3 n or 10−3π6 +π3 n<x<π3 +π3 n

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range tan(3x−5)

periodicity tan(3x−5)

amplitude tan(3x−5)

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

domínio tan(3x-5)

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