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

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

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

domain

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

x > - 6

Interval Notation

(- 6, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 6

Find undefined (singularity) points:

x = - 6

Combine real regions and undefined points for final function domain

x > - 6

y = x + 4

f (x) = \frac{( x + 5 )}{x ^{2} - 3 x}

(x - 2)^{3}

f (x) = 3 + lo g_{2} (x)

f (x) = \frac{4 x ^{2} + x - 1}{x ^{2} + x - 20}

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