What is the domain of 1/(sqrt(x^4-50x^2+49)) ?

The domain of 1/(sqrt(x^4-50x^2+49)) is x 7

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domain of 1/(sqrt(x^4-50x^2+49))

domain

\frac{1}{x ^{4} - 50 x ^{2} + 49}

x < - 7 or - 1 < x < 1 or x > 7

Interval Notation

(- \infty, - 7) \cup (- 1, 1) \cup (7, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 7 or - 1 \leq x \leq 1 or x \geq 7

Find undefined (singularity) points:

x = 7, x = - 7, x = 1, x = - 1

Combine real regions and undefined points for final function domain

x < - 7 or - 1 < x < 1 or x > 7

What is the domain of 1/(sqrt(x^4-50x^2+49)) ?
The domain of 1/(sqrt(x^4-50x^2+49)) is x<-7\lor-1<x<1\lor x>7