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

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

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

domain

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

- \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) = \frac{x}{x + 10}

y = (x + 1)^{2} + (y - 2)^{2} = 49

2^{x} + 5

\frac{1}{5 x + 1}

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