What is the domain of f(x)= 1/3 sqrt(x-5) ?

The domain of f(x)= 1/3 sqrt(x-5) is x>= 5

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domain of f(x)= 1/3 sqrt(x-5)

domain

f (x) = \frac{1}{3} x - 5

x \geq 5

Interval Notation

[5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

The function domain

x \geq 5

3 x^{3}

\frac{4 x}{x ^{2} + 4}

\frac{2 x + 1}{4 x ^{3} + 5 x + 7}

f (x) = \frac{3 x}{x ^{2} - 8}

y = x - 5

What is the domain of f(x)= 1/3 sqrt(x-5) ?
The domain of f(x)= 1/3 sqrt(x-5) is x>= 5