Texas HS Algebra 2 Question of the Day

Domain of $g$ is $(0,\infty)$ and range is all real numbers; for $g^{-1}$ these swap: domain is all real numbers and range is $(0,\infty)$.

Both have domain all real numbers and range $(0,\infty)$.

Domain of $g$ is all real numbers, but $g^{-1}$ must be restricted to nonnegative inputs.

They have the same domain and the same range.