What is the domain of f(x)=(-4)/(\sqrt[6]{2x+8)} ?

The domain of f(x)=(-4)/(\sqrt[6]{2x+8)} is x>-4

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domain of f(x)=(-4)/(\sqrt[6]{2x+8)}

domain

x > - 4

Interval Notation

(- 4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 4

Find undefined (singularity) points:

x = - 4

Combine real regions and undefined points for final function domain

x > - 4

- \frac{7}{3} x + \frac{35}{3}

f (x) = x^{2} - 4 x^{2}

f (x) = \frac{x ^{2} - 4 x + 2}{x}

y = x^{3} + 3 x^{2} - x - 3

f (x) = 10 (1.5)^{x}

What is the domain of f(x)=(-4)/(\sqrt[6]{2x+8)} ?
The domain of f(x)=(-4)/(\sqrt[6]{2x+8)} is x>-4