What is the domain of (3x-4)/(2-x) ?

The domain of (3x-4)/(2-x) is x 2

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domain of (3x-4)/(2-x)

domain

\frac{3 x - 4}{2 - x}

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) = x^{2} - 6 x + 5, 0 \leq x \leq 6

- x^{2} - 8 x

f (x) = \frac{3}{9 x ^{2} - 36}

f (x) = 2 - x + 9

y = \frac{1}{x - 2} + 3