What is the domain of f(x)=sqrt(-2x-8) ?

The domain of f(x)=sqrt(-2x-8) is x<=-4

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domain of f(x)=sqrt(-2x-8)

domain

f (x) = - 2 x - 8

x \leq - 4

Interval Notation

(- \infty, - 4]

Solution steps

Find non-negative values for radicals:

x \leq - 4

The function domain

x \leq - 4

f (x) = \frac{- 2 x + 5}{- 3 x + 1}

f (x) = 8 x - 1 + 5 x^{2}

- \frac{1}{2} x

1 + \frac{1}{x}

\frac{5 x - 3}{3 x + 2}

What is the domain of f(x)=sqrt(-2x-8) ?
The domain of f(x)=sqrt(-2x-8) is x<=-4