The range is the ouutput from inputing the input basically 25=k²+2k+1 and 64=k²+2k+1 the values that satisfy both equations (not at the same tim) are the valuess that are the domain solve each 25=k²+2k+1 minus 25 both sides (or recognize the perfect square trinomial, but anyway) 0=k²+2k-24 factor 0=(k+6)(k-4) set to zero k+6=0 k=-6 k-4=0 k=4 k=-6 or 4
64=k²+2k+1 minus 64 both sides 0=k²+2k-63 facor 0=(k-7)(k+9) set to zer k-7=0 k=7 k+9=0 k=-9 k=-9 or 7
so the domain has the numbers -9,-6,4,7 it seems we only want the positive square roots so answer is {4,7} is the domain
