What is the domain of f(x)=(x+2)^{1/4} ?

The domain of f(x)=(x+2)^{1/4} is x>=-2

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domain of f(x)=(x+2)^{1/4}

domain

f (x) = (x + 2)^{\frac{1}{4}}

x \geq - 2

Interval Notation

[- 2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

The function domain

x \geq - 2

f (x) = 2 x^{3} - 4 x^{2} + x + 1

\frac{( x + 1 ) ^{2}}{1 + x ^{2}}

f (x) = \frac{4}{x - 7}

f (x) = lo g_{10} (x)

y = lo g_{10} (1 - 6 x)

What is the domain of f(x)=(x+2)^{1/4} ?
The domain of f(x)=(x+2)^{1/4} is x>=-2