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

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

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

domain

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

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

f (x) = \frac{11}{11 - 3 x}

y = 4 tan (2 x + \frac{π}{3}) - 1

lo g_{10} (x^{2} - 13 x + 36)

f (x) = - 2 x^{2} - 4 x - 3

y = - 3 (x - 1)^{2} + 2