What is the domain of f(x)= 4/(x+2)+sqrt(x) ?

The domain of f(x)= 4/(x+2)+sqrt(x) is x>= 0

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domain of f(x)= 4/(x+2)+sqrt(x)

domain

f (x) = \frac{4}{x + 2} + x

x \geq 0

Interval Notation

[0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x \geq 0

(6, 3), (- 1, - 5)

f (x) = 6 x^{2} - 6

x^{3} - 9 x^{2} + 15 x

\frac{4 x}{x ^{3} - x ^{2} + 1}

∣ 3 x + 1 ∣ + 1 - x

What is the domain of f(x)= 4/(x+2)+sqrt(x) ?
The domain of f(x)= 4/(x+2)+sqrt(x) is x>= 0