What is the domain of (12+4x)/(x-4) ?

The domain of (12+4x)/(x-4) is x 4

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domain of (12+4x)/(x-4)

domain

\frac{12 + 4 x}{x - 4}

x < 4 or x > 4

Interval Notation

(- \infty, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

f (x) = \frac{3 x + 7}{x ^{3} - 27}

f (x) = \frac{x + 6}{x - 3}

y = \frac{1}{\frac{x}{\frac{1}{x} + x}}

f (x) = \frac{x ^{2} - 25}{x ^{2} - 3 x}

f (x) = - x - 3 + 4

What is the domain of (12+4x)/(x-4) ?
The domain of (12+4x)/(x-4) is x<4\lor x>4