The graph of the function f(x) is shown below:
From it we notice that:
[tex]\begin{gathered} \text{domf}=(-\infty,\infty) \\ \text{rangef}=(-2,\infty) \end{gathered}[/tex]
To determine the domain and range of the inverse function we just need to remember that the domain of the inverse is equal to the range of the original function; similarly, the range of the inverse is equal to the domain of the original function, therefore we have that:
[tex]\begin{gathered} \text{domf}^{-1}=(-2,\infty) \\ \text{rangef}^{-1}=(-\infty,\infty) \end{gathered}[/tex]
and the answer is the third option.
