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

The domain of f(x)= x/(sqrt(2x-8)) is x>4

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

domain

f (x) = \frac{x}{2 x - 8}

x > 4

Interval Notation

(4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x > 4

y = \frac{x + k}{x}

4 t^{3} - 4 t + 1

\frac{x}{2 x - 3}

f (x) = \frac{x ^{2} - 9}{x ^{2} - x - 6}

f (x) = \frac{x}{x ^{3} + 343}

What is the domain of f(x)= x/(sqrt(2x-8)) ?
The domain of f(x)= x/(sqrt(2x-8)) is x>4