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

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

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domain of f(x)=(x^2)/(sqrt(x-4))

domain

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

- 2 x + 1

f (x) = lo g_{10} (\frac{8}{x + 5})

8 - 4 x

f (x) = 4 x + 6

\frac{\frac{2}{x + 1}}{\frac{x}{x + 1}}

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