What is the domain of f(x)=\sqrt[3]{7x-21}+sqrt(x-5) ?

The domain of f(x)=\sqrt[3]{7x-21}+sqrt(x-5) is x>= 5

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domain of f(x)=\sqrt[3]{7x-21}+sqrt(x-5)

domain

x \geq 5

Interval Notation

[5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

The function domain

x \geq 5

f (x) = \frac{1}{x ^{2} - 2 x - 3} + \frac{x - 2}{6} - 15

f (x) = 2^{x} - 5

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

\frac{7 b - 14 b ^{2}}{42 b ^{2} - 21 b}

x^{2} + 5

What is the domain of f(x)=\sqrt[3]{7x-21}+sqrt(x-5) ?
The domain of f(x)=\sqrt[3]{7x-21}+sqrt(x-5) is x>= 5