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

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

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domain of f(x)=(2x)/(sqrt(x-8))

domain

f (x) = \frac{2 x}{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

d o main V (w) = (120 - 6 w) w^{2}

in v erse 3 x - 8

e x t re m e f (x) = 81 - x^{4}

cr i t i c a l - x^{3} + 6 x^{2}

sy mm e t ry y = x^{3} + 10 x

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