Question 973117
The description first wants to focus on the domain {{{x<-1}}}  for {{{f(x)=4x^2+4x+1}}};

The inverse will use the RANGE of f for its domain, and will use the DOMAIN of f for its range; in other words, the inverse function will switch the domain and range.


The range for {{{f^-1(x)}}}  will be {{{y<-1}}}.  The part of the inverse you want will be most of the lower branch and you can judge this better from examining the graphs.


Lower branch of the inverse, means you use the MINUS form.



Other q# already more thoroughly answered.