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Find the domain and range of f(x) = sqrt(2x-5) / (x-3)

Sep 13, 2020

$$x-3\ne 0\rightarrow x\ne 3$$. Also, $$2x-5\ge 0\rightarrow x\ge 5/2$$. So domain is $$x\ge 5/2, x\ne 3$$. For range, it is simply all reals.