What is the domain of f(x)= x/(sqrt(2x+8)) ?

The domain of f(x)= x/(sqrt(2x+8)) is x>-4

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domain of f(x)= x/(sqrt(2x+8))

domain

f (x) = \frac{x}{2 x + 8}

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

f (x) = 3 - x

2 - x + 7

sin (x + \frac{π}{4})

m = 3, (2, 1)

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

What is the domain of f(x)= x/(sqrt(2x+8)) ?
The domain of f(x)= x/(sqrt(2x+8)) is x>-4