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

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

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domain of f(x)= 1/(1+sqrt(x))

domain

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

x \geq 0

Interval Notation

[0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

The function domain

x \geq 0

in v erse f (x) = lo g_{4} (x - 11) + 3

in v erse f (x) = 2 x^{2} + 4 = y

sy mm e t ry y = - 6 x^{2}

r an g e f (x) = 6 x + 3

e x t re m e f (x) = x^{2} e^{10 x}

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