What is the domain of (sqrt(x-4))/(x-8) ?

The domain of (sqrt(x-4))/(x-8) is 4 8

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domain of (sqrt(x-4))/(x-8)

domain

\frac{x - 4}{x - 8}

4 \leq x < 8 or x > 8

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

4 \leq x < 8 or x > 8

\frac{4 - x}{2 x - 3}

f (x) = \frac{x - 4}{x ^{2} - 11 x + 28}

f (x) = 2 - \frac{3 x + 11}{x + 5}

\frac{x - 2}{x ^{2} + 4}

3 sin (- 4 x - π) - 5

What is the domain of (sqrt(x-4))/(x-8) ?
The domain of (sqrt(x-4))/(x-8) is 4<= x<8\lor x>8