What is the domain of f(x)=|(2x)/(x-4)| ?

The domain of f(x)=|(2x)/(x-4)| is x 4

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domain of f(x)=|(2x)/(x-4)|

domain

f (x) = \frac{2 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) = ln (- 4 + 0)

\frac{2 ^{x} + 5 ^{x}}{5 ^{x} - 2 ^{x}}

e^{6 x}

f (x) = \frac{- 24}{x ^{2} + 8}

f (x) = \frac{1}{24} (x - 2)^{2}

What is the domain of f(x)=|(2x)/(x-4)| ?
The domain of f(x)=|(2x)/(x-4)| is x<4\lor x>4