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

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

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

domain

f (x) = x^{4} - 4 x^{2} + 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) = \frac{x + 5}{x + 1}

x^{2} - 9 x

x^{4} - 6 x^{3}

(x + 5)^{2} + 3

y = 1

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