What is the domain of (2x+1)/(x-3) ?

The domain of (2x+1)/(x-3) is x 3

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domain of (2x+1)/(x-3)

domain

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

x < 3 or x > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

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

7 sin (π x)

f (x) = x^{2} - 2 x - 24

f (x) = \frac{x ^{2} - 7}{x - 4}

\frac{( 3 x - 15 )}{- x ^{2} + 5 x}