Answer :

Given:


To find: the domain and range of function


Explanation: So, the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain


Given,



Now for real value of


x-5≠0 and x-5>0


x≠5 and x>5


Hence the domain of f = (5, ∞)


And the range of a function consists of all the second elements of all the ordered pairs, i.e., f(x), so we have to find the values of f(x) to get the required range


Now we know for this function


x-5>0


taking square root on both sides, we get



Or



Or


f(x)>0


f(x)(0, ∞)


Hence the range of f = (0, ∞)


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