Question 1163140
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{{{y = ln(sqrt(e^x-2))}}}

{{{e^y = sqrt(e^x-2)}}} 

{{{e^(2y) = e^x - 2}}}  

{{{e^x = e^(2y) + 2}}} 

{{{ln(e^x) = ln(e^(2y)+2)}}}

{{{x = ln(e^(2y)+2)}}}

Now interchange x and y

{{{y = ln(e^(2x)+2)}}}

Replace y by f<sup>-1</sup>(x)

f<sup>-1</sup>(x) = ln(e<sup>2x</sup>+2)

Edwin</pre></font></b>