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

The domain of (x^2)/(sqrt(x^4+4)) is -infinity <x<infinity

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domain of (x^2)/(sqrt(x^4+4))

domain

\frac{x ^{2}}{x ^{4} + 4}

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = x

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

f (x) = \frac{6}{- x - 3}

y = arcsin (- x^{2})

f (x) = 4 x^{2} + y^{2} = 36

What is the domain of (x^2)/(sqrt(x^4+4)) ?
The domain of (x^2)/(sqrt(x^4+4)) is -infinity <x<infinity