Question 1196851
f(x) =(x+1)^(x-1)
as You can see on graph: Domain:   x can be any real number > -1 
Using 'calculate' on graphing software,  when f'(x) = 0, f(x) = .8165est
Range:  f(x) >= .8165est See 2nd graph 
{{{drawing(300,300,   -6,20, -6, 20, grid(1), blue(line(-1,20,-1,-20)) ,

graph( 300, 300, -6, 20, -6, 20,(x+1)^(x-1))) }}}

 *[illustration graph]