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

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

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

domain

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

x \geq - 3

Interval Notation

[- 3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 3

The function domain

x \geq - 3

cos (2 x)

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

y = - 2 x + 5

f (x) = \frac{x ^{2} + 4 x + 3}{2 x ^{2} + 5}

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