What is the domain of f(x)= 8/(sqrt(x-3)) ?

The domain of f(x)= 8/(sqrt(x-3)) is x>3

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domain of f(x)= 8/(sqrt(x-3))

domain

f (x) = \frac{8}{x - 3}

x > 3

Interval Notation

(3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x > 3

1 - lo g_{10} (x)

- x^{2} + 4 x + 5

\frac{5 x - 3}{1 - 4 x}

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

1 + \frac{2}{x}

What is the domain of f(x)= 8/(sqrt(x-3)) ?
The domain of f(x)= 8/(sqrt(x-3)) is x>3