we have
[tex]f(x)=\sqrt[]{x+1}-2[/tex]In this problem we know that the radicand must be greater than or equal to zero
so
[tex]\begin{gathered} x+1\ge0 \\ x\ge-1 \end{gathered}[/tex]the domain of the function is the interval for x {-1, infinite)
the range is the interval {-2, infinite)
using a graphing tool
see the attached figure
please wait a minute
this is the graph of the function
