what is the inverse function of f(x)= sqrt(6-e^(2x))

Also what is the domain of the inverse function?
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2 Answers

f(x)=root(6-e^2x)

f^2=6-e^2x

f^2-6=e^2x

ln(f^2-6)=2x

x=(1/2)ln(f^2-6)
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f(x)=sqrt(15-2x)
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