What is the domain of f(x)=(x-4)/(2x-8) ?

The domain of f(x)=(x-4)/(2x-8) is x 4

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domain of f(x)=(x-4)/(2x-8)

domain

f (x) = \frac{x - 4}{2 x - 8}

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{x ^{2} + 5 x}{x ^{2} + 4 x + 4}

\frac{4}{5 + x}

\frac{9 x + 41}{- 8 x - 61}

\frac{1}{y + 2}

\frac{6}{x} - 7

What is the domain of f(x)=(x-4)/(2x-8) ?
The domain of f(x)=(x-4)/(2x-8) is x<4\lor x>4