What is the domain of f(x)= 1/(sqrt(2x+4)) ?

The domain of f(x)= 1/(sqrt(2x+4)) is x>-2

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domain of f(x)= 1/(sqrt(2x+4))

domain

f (x) = \frac{1}{2 x + 4}

x > - 2

Interval Notation

(- 2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x > - 2

f (x) = x + 6

- 3 x + 2 y = 20

(1, 5), (1, - 4)

3 x - 4 y + 2

y = 5 x - 3

What is the domain of f(x)= 1/(sqrt(2x+4)) ?
The domain of f(x)= 1/(sqrt(2x+4)) is x>-2