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

The domain of f(x)=(x^5+1)/((x^2-1)^2) is x 1

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domain of f(x)=(x^5+1)/((x^2-1)^2)

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1, x = - 1

The function domain

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

f (x) = lo g_{10} (6 x - 1)

f (x) = 7 x - 21 + \frac{x}{x - 8}

f (x) = x 4 - x

lo g_{3} (lo g_{2} (x))

- 4 x + 6 - 15

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