Step 1 \(\displaystyle{f{{\left({x}\right)}}}={2}^{{{x}}}\text{and}{g{{\left({x}\right)}}}={2}^{{{x}-{1}}}\) Graph of g(x) can be obtained by translating the graph of f(x) by 1 unit tp the right along the x-axis. Domain of f(x) is \(\displaystyle{x}\in{\left(-\infty,\infty\right)}\) Range of f(x) is \(\displaystyle{\left({0},\infty\right)}\) Asympote for the graph is \(\displaystyle{y}={0}\) Domain of \(\displaystyle{g{{\left({x}\right)}}}={x}\in{\left(-\infty,\infty\right)}\) Range of PSKg(x) = (0, \infty) Asympote for the graph is \(\displaystyle{y}={0}\)