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

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

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

domain

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

5 \leq x < 6 or x > 6

Interval Notation

[5, 6) \cup (6, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

Find undefined (singularity) points:

x = 0, x = 6

Combine real regions and undefined points for final function domain

5 \leq x < 6 or x > 6

y = - 3 x + 12

f (x) = 5 x^{2} - 2 x - 3

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

cos (2 x + π) + 1

(4, - 1), (5, 8)

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