What is the domain of f(x)=(6x)/(sqrt(x+8)) ?

The domain of f(x)=(6x)/(sqrt(x+8)) is x>-8

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domain of f(x)=(6x)/(sqrt(x+8))

domain

f (x) = \frac{6 x}{x + 8}

x > - 8

Interval Notation

(- 8, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 8

Find undefined (singularity) points:

x = - 8

Combine real regions and undefined points for final function domain

x > - 8

in v erse lo g_{5} (x - 2)

in t erce pt s f (x) = \frac{1}{x - 2} - 3

s im pl i f y (1.2) (- 3.4)

r an g e 2^{x} - 4

a sy m pt o t es f (x) = \frac{1}{x} - 7

What is the domain of f(x)=(6x)/(sqrt(x+8)) ?
The domain of f(x)=(6x)/(sqrt(x+8)) is x>-8