What is the domain of 4/(x+4)+sqrt(x)+1 ?

The domain of 4/(x+4)+sqrt(x)+1 is x>= 0

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domain of 4/(x+4)+sqrt(x)+1

domain

\frac{4}{x + 4} + x + 1

x \geq 0

Interval Notation

[0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = - 4

Combine real regions and undefined points for final function domain

x \geq 0

(5, - 9), (- 9, 13)

f (x) = x^{2} + 5 x - 14

(\frac{1}{2})^{x - 7}

\frac{1}{4}

\frac{5 x}{2 + x}

What is the domain of 4/(x+4)+sqrt(x)+1 ?
The domain of 4/(x+4)+sqrt(x)+1 is x>= 0