What is the domain of f(x)=(x+2)^{1/2}+3 ?

The domain of f(x)=(x+2)^{1/2}+3 is x>=-2

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domain of f(x)=(x+2)^{1/2}+3

domain

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

x \geq - 2

Interval Notation

[- 2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

The function domain

x \geq - 2

\frac{3 x ^{2} - 3}{2 x ^{2}}

f (x) = x + 5 - 5 - x

f (x) = \frac{x - 9}{x}

f (x) = 2 \cdot π \cdot x^{2} + 12 \cdot π \cdot x

f (x) = \frac{2 \cdot x - 3}{( x - 5 ) \cdot ( x + 5 )}

What is the domain of f(x)=(x+2)^{1/2}+3 ?
The domain of f(x)=(x+2)^{1/2}+3 is x>=-2