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inverse of sqrt(6x)

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inverse 5x+27x 2x

Solution

5+√25+112x28x , 5−√25+112x28x

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L⁻¹{xx²−6x+8 }

xx²−6x+8 קח את השבר החלקי של: −1x−2 +2x−4

=L⁻¹{−1x−2 +2x−4 }

Use the linearity property of Inverse Laplace Transform:
For functions f(s), g(s) and constants a, b: L⁻¹{a·f(s)+b·g(s)}=a·L⁻¹{f(s)}+b·L⁻¹{g(s)}

=−L⁻¹{1x−2 }+L⁻¹{2x−4 }

L⁻¹{1x−2 }: e^2t

L⁻¹{2x−4 }: 2e^4t

=−e^2t+2e^4t

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domain 5x+27x 2x

range 5x+27x 2x

intercepts 5x+27x 2x

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

inverse of sqrt(6x)

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