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

The domain of f(x)=\sqrt[8]{-2x-6} is x<=-3

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

domain

x \leq - 3

Interval Notation

(- \infty, - 3]

Solution steps

Find non-negative values for radicals:

x \leq - 3

The function domain

x \leq - 3

f (x) = ln (18 - 2 x)

f (x) = - \frac{1}{4} x^{3}

(4 x - 3)^{\frac{1}{3}}

f (x) = \frac{x + 11}{x ^{2} + 7 x - 60}

f (x) = 6 + ln (x - 5)

What is the domain of f(x)=\sqrt[8]{-2x-6} ?
The domain of f(x)=\sqrt[8]{-2x-6} is x<=-3