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

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

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

domain

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

x < 8 or x > 8

Interval Notation

(- \infty, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8

The function domain

x < 8 or x > 8

f (x) = \frac{x + 8}{( x - 4 ) ( x + 6 )}

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

\frac{x - 4}{2 x ^{2} + 8 x}

\frac{3 x - 2}{x + 5}

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

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