What is the domain of f(x)=(-5)/(sqrt(x+6)) ?

The domain of f(x)=(-5)/(sqrt(x+6)) is x>-6

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domain of f(x)=(-5)/(sqrt(x+6))

domain

f (x) = \frac{- 5}{x + 6}

x > - 6

Solution steps

Find non-negative values for radicals:

x \geq - 6

Find undefined (singularity) points:

x = - 6

Combine real regions and undefined points for final function domain

x > - 6

f (x) = \frac{x - 3}{x - 10}

f (x) = - 3

f (x) = \frac{1}{x - 7}

y = 4 - x^{2}

What is the domain of f(x)=(-5)/(sqrt(x+6)) ?
The domain of f(x)=(-5)/(sqrt(x+6)) is x>-6