What is the domain of f(x)=(x-1)/(x^3-2x^2-5x+6) ?

The domain of f(x)=(x-1)/(x^3-2x^2-5x+6) is x 3

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domain of f(x)=(x-1)/(x^3-2x^2-5x+6)

domain

f (x) = \frac{x - 1}{x ^{3} - 2 x ^{2} - 5 x + 6}

x < - 2 or - 2 < x < 1 or 1 < x < 3 or x > 3

Interval Notation

(- \infty, - 2) \cup (- 2, 1) \cup (1, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 2, x = 3

The function domain

x < - 2 or - 2 < x < 1 or 1 < x < 3 or x > 3

ln (2 t)

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

f (x) = \frac{7}{x + 9}

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

(ln (x))^{2} + ln (x) - 2

What is the domain of f(x)=(x-1)/(x^3-2x^2-5x+6) ?
The domain of f(x)=(x-1)/(x^3-2x^2-5x+6) is x<-2\lor-2<x<1\lor 1<x<3\lor x>3