What is the domain of f(x)=(x-5)/(sqrt(-12-4x)) ?

The domain of f(x)=(x-5)/(sqrt(-12-4x)) is x<-3

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domain of f(x)=(x-5)/(sqrt(-12-4x))

domain

f (x) = \frac{x - 5}{- 12 - 4 x}

x < - 3

Interval Notation

(- \infty, - 3)

Solution steps

Find non-negative values for radicals:

x \leq - 3

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x < - 3

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

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

lo g_{3} (x + 9) - 4

f (x) = \frac{4 x - 5}{x ^{2} + 10 x + 16}

\frac{e ^{x}}{1 + e ^{x}}

What is the domain of f(x)=(x-5)/(sqrt(-12-4x)) ?
The domain of f(x)=(x-5)/(sqrt(-12-4x)) is x<-3