Question 447941
Assume that {{{y=2^(x^2)-5}}}, solve this equation for x:{{{y-5=2^(x^2)}}}=>

{{{ln(y-5)=x^2*ln2}}}=>{{{x=sqrt(ln(y-5)/ln2)}}}, interchange x and y and get the 

inverse function:{{{f^-1(x)=sqrt(ln(x-5)/ln2)}}}. The domain of this function is:

(5, {{{infinity}}}). The value x=-11 is not included in its domain for this value

the function {{{f^-1(x)}}} is undefined.