What is the domain of f(x)=(x-1)/(x^2+10x-11) ?

The domain of f(x)=(x-1)/(x^2+10x-11) is x 1

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domain of f(x)=(x-1)/(x^2+10x-11)

domain

f (x) = \frac{x - 1}{x ^{2} + 10 x - 11}

x < - 11 or - 11 < x < 1 or x > 1

Interval Notation

(- \infty, - 11) \cup (- 11, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 11

The function domain

x < - 11 or - 11 < x < 1 or x > 1

y = \frac{x + 7}{x ^{3} + 3 x ^{2} + 3 x + 1}

f (x) = \frac{x + 6}{7 x + 6}

f (x) = 5 x^{2} - 5 x - 2

f (x) = \frac{x - 8}{x - 9}

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

What is the domain of f(x)=(x-1)/(x^2+10x-11) ?
The domain of f(x)=(x-1)/(x^2+10x-11) is x<-11\lor-11<x<1\lor x>1