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

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

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

domain

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

x > - 5

Interval Notation

(- 5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x > - 5

f (x) = 2 x (x + 4)^{2}

y = - 3

\frac{- 4}{2 x - 1}

X + 3

f (x) = x^{\frac{4}{3}}

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