What is the domain of f(x)=-2sqrt(x^2-4)+ln(-5-2x) ?

The domain of f(x)=-2sqrt(x^2-4)+ln(-5-2x) is x<-5/2

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domain of f(x)=-2sqrt(x^2-4)+ln(-5-2x)

domain

f (x) = - 2 x^{2} - 4 + ln (- 5 - 2 x)

x < - \frac{5}{2}

Interval Notation

(- \infty, - \frac{5}{2})

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 2

Find positive values for logs:

x < - \frac{5}{2}

Combine real regions and undefined points for final function domain

x < - \frac{5}{2}

\frac{x + 5}{4 x - 2}

\frac{y}{3 y ^{2} + 17 y + 10}

f (x) = 11

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

f (x) = 10 x e^{- 5 x}

What is the domain of f(x)=-2sqrt(x^2-4)+ln(-5-2x) ?
The domain of f(x)=-2sqrt(x^2-4)+ln(-5-2x) is x<-5/2