What is the domain of f(x)=\sqrt[4]{(x+4)/(x-3)} ?

The domain of f(x)=\sqrt[4]{(x+4)/(x-3)} is x 3

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domain of f(x)=\sqrt[4]{(x+4)/(x-3)}

domain

x \leq - 4 or x > 3

Interval Notation

(- \infty, - 4] \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 4 or x > 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x \leq - 4 or x > 3

\frac{x - 1}{x ^{3}}

f (x) = 4 x - 8

f (x) = \frac{1}{5} x + 4

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

\frac{2 x ^{2} - 6 x - 20}{x ^{2} - 4 x - 5}

What is the domain of f(x)=\sqrt[4]{(x+4)/(x-3)} ?
The domain of f(x)=\sqrt[4]{(x+4)/(x-3)} is x<=-4\lor x>3