What is the domain of f(x)= 3/(x-6) ?

The domain of f(x)= 3/(x-6) is x 6

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domain of f(x)= 3/(x-6)

domain

f (x) = \frac{3}{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

cos (2 x)

f (x) = x^{(\frac{9}{2})} - 7 x^{2}

2 x + 4

f (x) = 5 x^{2} = 60

x^{4} - 9 x^{2}

What is the domain of f(x)= 3/(x-6) ?
The domain of f(x)= 3/(x-6) is x<6\lor x>6