What is the domain of (sqrt(x-5))/(x-8) ?

The domain of (sqrt(x-5))/(x-8) is 5 8

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domain of (sqrt(x-5))/(x-8)

domain

\frac{x - 5}{x - 8}

5 \leq x < 8 or x > 8

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 5

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

5 \leq x < 8 or x > 8

f (x) = \frac{1}{w ^{2}}

\frac{5 - x}{3 x}

f (x) = x^{3} + 3 x^{2}

lo g_{x} (x)

f (x) = \frac{1}{ln ( 3 - x ^{2} )}

What is the domain of (sqrt(x-5))/(x-8) ?
The domain of (sqrt(x-5))/(x-8) is 5<= x<8\lor x>8