What is the domain of f(x)=(2x)/(sqrt(x+5)) ?

The domain of f(x)=(2x)/(sqrt(x+5)) is x>-5

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domain of f(x)=(2x)/(sqrt(x+5))

domain

f (x) = \frac{2 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) = \frac{x ^{2} - x - 4}{x - 3}

(1, 3), (- 1, 2)

y = 3 x - 4, (- 6, 2)

f (x) = \frac{1}{9} x + 2

f (x) = \frac{x ^{2} + 8}{x ^{2} - 6 x - 16}

What is the domain of f(x)=(2x)/(sqrt(x+5)) ?
The domain of f(x)=(2x)/(sqrt(x+5)) is x>-5