Answer
Please see below.
Work Step by Step
The graph of the function $g(x)=\left ( \frac{1}{2} \right )^{-x}$ (the red graph) is the graph of the function $f(x)=\left ( \frac{1}{2} \right )^x$ (the blue graph) reflected about the $y$-axis.
$x=0$ is the horizontal asymptote for both functions $f$ and $g$.
The domains of the functions $f$ and $g$ are$$D_f=( - \infty, \infty ), \qquad D_g= (- \infty, \infty ).$$The range of the functions $f$ and $g$ are$$R_f= (0, \infty ), \qquad R_g= (0, \infty ).$$
