We have that the original function is
[tex]y=5^x[/tex]and after some transformations we have
[tex]y=5^{x-3}+1[/tex]The -3 is a shift to the right and +1 is a shift up of the original function
then we will calculate the domain of the function,
the domain is the set of all possible values that can have x in this case the domain is all the real numbers
to the range is the set of values that can have y
In this case if we graph the function we will obtain that the range is
[tex]\mleft\{y\in R\colon y>1\mright\}[/tex]where the red line is the original function and the blue is the one with the transformations
