What is the domain of 1/(sqrt(x^4-5x^2+4)) ?

The domain of 1/(sqrt(x^4-5x^2+4)) is x 2

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domain of 1/(sqrt(x^4-5x^2+4))

domain

\frac{1}{x ^{4} - 5 x ^{2} + 4}

x < - 2 or - 1 < x < 1 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 1, 1) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 2 or - 1 \leq x \leq 1 or x \geq 2

Find undefined (singularity) points:

x = 2, x = - 2, x = 1, x = - 1

Combine real regions and undefined points for final function domain

x < - 2 or - 1 < x < 1 or x > 2

f (x) = 2 cos (3 x)

\frac{x}{9 - x ^{2}}

y = 4 x + 2

(x + 5)^{2} - 4

y = \frac{4}{3} x - 2

What is the domain of 1/(sqrt(x^4-5x^2+4)) ?
The domain of 1/(sqrt(x^4-5x^2+4)) is x<-2\lor-1<x<1\lor x>2