# Graph f and g in the same rectangular coordinate system. Use transformations of the graph f of to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain and range.f(x)=2^{x} text{and} g(x)=2^{x-1}

Graph f and g in the same rectangular coordinate system. Use transformations of the graph f of to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain and range.

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Step 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 $x\in \left(-\mathrm{\infty },\mathrm{\infty }\right)$ Range of f(x) is $\left(0,\mathrm{\infty }\right)$ Asympote for the graph is $y=0$ Domain of $g\left(x\right)=x\in \left(-\mathrm{\infty },\mathrm{\infty }\right)$ Range of $g\left(x\right)=\left(0,\mathrm{\infty }\right)$ Asympote for the graph is $y=0$