What is the domain of f(x)=(5x)/(x-6) ?

The domain of f(x)=(5x)/(x-6) is x 6

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domain of f(x)=(5x)/(x-6)

domain

f (x) = \frac{5 x}{x - 6}

x < 6 or x > 6

Interval Notation

(- \infty, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6

The function domain

x < 6 or x > 6

- \frac{x ( x - 2 )}{3 x ( x + 2 )}

y = 6 + ln (x)

f (x) = \frac{x + 3}{2 x}

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

f (x) = \frac{1 - 5 x}{x ^{2} + 4}

What is the domain of f(x)=(5x)/(x-6) ?
The domain of f(x)=(5x)/(x-6) is x<6\lor x>6