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

The domain of f(x)=-(12)/(sqrt(x+4)) is x>-4

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

domain

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

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

- 5 x^{2} - 30 x - 42

f (x) = \frac{4}{x - 9}

x^{2} + 4 x - 2

x^{2} - 8 x - 9

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