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

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

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

domain

f (x) = \frac{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

f (x) = lo g_{10} (2 x - 4)

f (x) = 3 + 6 x - 3

\frac{( x ^{3} )}{( 4 x ^{2} + 17 x - 15 )}

f (x) = \frac{7}{3 - 6 x}

f (x) = \frac{2 x ^{3}}{x ^{2} - 4}

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