What is the domain of (x-16)/(2(x-8)sqrt(x-8)) ?

The domain of (x-16)/(2(x-8)sqrt(x-8)) is x>8

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domain of (x-16)/(2(x-8)sqrt(x-8))

domain

\frac{x - 16}{2 ( x - 8 ) x - 8}

x > 8

Interval Notation

(8, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 8

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

x > 8

y = - 5 x + 2

f (x) = 3 x^{2} + 4

f (x) = lo g_{\frac{1}{3}} (x)

f (x) = - 2 x (x - 3) (x - 7)

x y - 2 y - x = 0

What is the domain of (x-16)/(2(x-8)sqrt(x-8)) ?
The domain of (x-16)/(2(x-8)sqrt(x-8)) is x>8