What is the domain of f(a)=(a^3+1)/(a^4-a^3+a-1) ?

The domain of f(a)=(a^3+1)/(a^4-a^3+a-1) is a 1

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domain of f(a)=(a^3+1)/(a^4-a^3+a-1)

domain

f (a) = \frac{a ^{3} + 1}{a ^{4} - a ^{3} + a - 1}

a < - 1 or - 1 < a < 1 or a > 1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

a = 1, a = - 1

The function domain

a < - 1 or - 1 < a < 1 or a > 1

\frac{5}{x - 1} - \frac{x}{x - 8}

(- 5 - i) (2 + 4 i)

ln (1.05)

(x - 4) (x^{2} + 4 x + 16)

What is the domain of f(a)=(a^3+1)/(a^4-a^3+a-1) ?
The domain of f(a)=(a^3+1)/(a^4-a^3+a-1) is a<-1\lor-1<a<1\lor a>1