What is the domain of f(x)=(sqrt(x+3))/(sqrt(x+5)) ?

The domain of f(x)=(sqrt(x+3))/(sqrt(x+5)) is x>=-3

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domain of f(x)=(sqrt(x+3))/(sqrt(x+5))

domain

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

x \geq - 3

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq - 3

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x \geq - 3

f (x) = x^{3} - 6 x^{2} + 9 x + 1

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

\frac{( x - 3 )}{2}

f (x) = x - x^{2} - arcsin (3 x - 4)

18 x - 17

What is the domain of f(x)=(sqrt(x+3))/(sqrt(x+5)) ?
The domain of f(x)=(sqrt(x+3))/(sqrt(x+5)) is x>=-3