What's the inverse of f(x) = root (3 - e^2x)??

**TGS** · September 20th 2009, 02:44 PM

sqrt (3 - e^2x) ????

**skeeter** · September 20th 2009, 02:51 PM

Originally Posted by TGS

sqrt (3 - e^2x) ????

$y = \sqrt{3 - e^{2x}}$

$x = \sqrt{3 - e^{2y}}$

$x^2 = 3 - e^{2y}$

$e^{2y} = 3 - x^2$

$2y = \ln(3 - x^2)$

$y = \frac{1}{2}\ln(3-x^2)$

$y = \ln{\sqrt{3-x^2}}$

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What's the inverse of f(x) = root (3 - e^2x)??

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