What is the domain of f(x)=(sqrt((x-3)^3))/(x-3) ?

The domain of f(x)=(sqrt((x-3)^3))/(x-3) is x>3

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domain of f(x)=(sqrt((x-3)^3))/(x-3)

domain

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

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

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

2 x, - 1 \leq x \leq 5

y = \frac{x}{x ^{2} - 16}

f (x) = \frac{2 x - 8}{x + 2}

y = e^{- x}

What is the domain of f(x)=(sqrt((x-3)^3))/(x-3) ?
The domain of f(x)=(sqrt((x-3)^3))/(x-3) is x>3