What is the domain of f(x)=(3sqrt(x+5))/(x+8) ?

The domain of f(x)=(3sqrt(x+5))/(x+8) is x>=-5

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domain of f(x)=(3sqrt(x+5))/(x+8)

domain

f (x) = \frac{3 x + 5}{x + 8}

x \geq - 5

Interval Notation

[- 5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = - 8

Combine real regions and undefined points for final function domain

x \geq - 5

- 10.4

f (x) = 3 x - 2

\frac{x}{1 - x}

cos (x) - 3

(4, 1), (6, 0)

What is the domain of f(x)=(3sqrt(x+5))/(x+8) ?
The domain of f(x)=(3sqrt(x+5))/(x+8) is x>=-5