What is the domain of f(x)=(sqrt(x))/(x^2+8x+15) ?

The domain of f(x)=(sqrt(x))/(x^2+8x+15) is x>= 0

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domain of f(x)=(sqrt(x))/(x^2+8x+15)

domain

f (x) = \frac{x}{x ^{2} + 8 x + 15}

x \geq 0

Interval Notation

[0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = - 3, x = - 5

Combine real regions and undefined points for final function domain

x \geq 0

f (x) = \frac{1 - 3 x}{2 - x}

g (x) = \frac{3}{4} x - \frac{1}{4}

f (x) = 7 x^{2} ln (\frac{x}{2})

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

f (x) = arccsc (x + 4)

What is the domain of f(x)=(sqrt(x))/(x^2+8x+15) ?
The domain of f(x)=(sqrt(x))/(x^2+8x+15) is x>= 0