What is the domain of f(x)= 8/(sqrt(3+x)) ?

The domain of f(x)= 8/(sqrt(3+x)) is x>-3

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domain of f(x)= 8/(sqrt(3+x))

domain

f (x) = \frac{8}{3 + x}

x > - 3

Solution steps

Find non-negative values for radicals:

x \geq - 3

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x > - 3

f (x) = 3 + x

f (x) = (x - 2)^{2} - 1

\frac{x + 3}{x ^{2} - 1}

y = 4 + 2 x - x^{2}

What is the domain of f(x)= 8/(sqrt(3+x)) ?
The domain of f(x)= 8/(sqrt(3+x)) is x>-3