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range of x/(x^2-6x+8)

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

☐²

x^☐

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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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range log₁₀(2x²)

Solution

−∞ <f(x)<∞

Interval Notation

(−∞ , ∞ )

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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: log₁₀(2x²)

Inverse of log₁₀(2x²): √5^x· 2^x−1, −√5^x· 2^x−1

√5^x· 2^x−1, −√5^x· 2^x−1

Find the domain of each inverse function

Domain of √5^x· 2^x−1 : −∞ <x<∞

Domain of −√5^x· 2^x−1 : −∞ <x<∞

Combine the intervals

−∞ <f(x)<∞

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domain log₁₀(2x²)

inverse log₁₀(2x²)

intercepts log₁₀(2x²)

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

range of x/(x^2-6x+8)

Solution

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