What is the domain of f(x)=(sqrt(x-4))/(x-6) ?

The domain of f(x)=(sqrt(x-4))/(x-6) is 4 6

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domain of f(x)=(sqrt(x-4))/(x-6)

domain

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

4 \leq x < 6 or x > 6

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

4 \leq x < 6 or x > 6

f (x) = x^{4} + x

2 x + 3

\frac{x}{sin ( x )}

\frac{x ^{2} - 25}{- 2 x ^{2} - 10 x}

- 3 sin (2 x + \frac{π}{2})

What is the domain of f(x)=(sqrt(x-4))/(x-6) ?
The domain of f(x)=(sqrt(x-4))/(x-6) is 4<= x<6\lor x>6