What is the domain of (2x-1)/(x-1) ?

The domain of (2x-1)/(x-1) is x 1

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domain of (2x-1)/(x-1)

domain

\frac{2 x - 1}{x - 1}

x < 1 or x > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

(x^{2} - 4)^{\frac{5}{3}}

4 x - 7

f (x) = \frac{e ^{x}}{x}

f (x) = \frac{24 - 2 x - x ^{2}}{x ^{2} - 4}

f (x) = \frac{1}{9 - x - 3}