# What is the domain of f(x) =(10x-4) / (x-1)?

If you write it as follows $f \left(x\right) = \frac{10 x - 4 - 6 + 6}{x - 1} = \frac{10 x - 10}{x - 1} + \frac{6}{x - 1} = 10 + \frac{6}{x - 1}$
So the domain is $R - \left\{1\right\}$