What is the domain of f(x)= x/(\sqrt[4]{x-5x)} ?

The domain of f(x)= x/(\sqrt[4]{x-5x)} is x<0

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domain of f(x)= x/(\sqrt[4]{x-5x)}

domain

x < 0

Interval Notation

(- \infty, 0)

Solution steps

Find non-negative values for radicals:

x \leq 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0

f (x) = \frac{( 2 x - 3 )}{x + 1}

y = lo g_{10} (3 - 4 x)

f (x) = \frac{35 x}{4 x - 6}

\frac{7 + 6 x - x ^{2}}{x + 3}

f (x) = \frac{x ^{3}}{x + 2}

What is the domain of f(x)= x/(\sqrt[4]{x-5x)} ?
The domain of f(x)= x/(\sqrt[4]{x-5x)} is x<0