What is the domain of (2x+8)/(x-3) ?

The domain of (2x+8)/(x-3) is x 3

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domain of (2x+8)/(x-3)

domain

\frac{2 x + 8}{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

lo g_{4} (x + 3)

f (x) = ln (1 - ln (x))

lo g_{4} (x + 1)

f (x) = \frac{2 x}{12 x ^{2} - 23 x + 5}

f (x) = \frac{1}{ln ( x ^{4} - 16 )}