What is the domain of f(x)=x(x-3)^{-1/4} ?

The domain of f(x)=x(x-3)^{-1/4} is x>3

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domain of f(x)=x(x-3)^{-1/4}

domain

f (x) = x (x - 3)^{- \frac{1}{4}}

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

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

∣ - 3 x ∣

y = \frac{2 x ^{2} - 6 x + 4}{- 3 x - 5}

\frac{2 x + 3}{x ^{2} + 3 x + 2}

- \frac{2 a - 5}{5 + 2 a}

What is the domain of f(x)=x(x-3)^{-1/4} ?
The domain of f(x)=x(x-3)^{-1/4} is x>3