What is the domain of f(x)=(x+2)/(xsqrt(x-4)) ?

The domain of f(x)=(x+2)/(xsqrt(x-4)) is x>4

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domain of f(x)=(x+2)/(xsqrt(x-4))

domain

f (x) = \frac{x + 2}{x x - 4}

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

f (r) = 2 π r^{2} + 12 π r

f (x) = \frac{4300 x}{x ^{2} + 40}

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

f (x) = lo g_{4} (x^{2} - 4)

\frac{x - 4}{x - 6}

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