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

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

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

domain

\frac{3 x + 1}{x ^{3} - 5 x ^{2} + 6 x}

x < 0 or 0 < x < 2 or 2 < x < 3 or x > 3

Interval Notation

(- \infty, 0) \cup (0, 2) \cup (2, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = 2, x = 3

The function domain

x < 0 or 0 < x < 2 or 2 < x < 3 or x > 3

2^{x - 3} + 4

p (t) = \frac{t}{2 t + 8}

2^{x - 3} - 5

g (x) = lo g_{2} (x + 3)

f (x) = 5 x - 20

What is the domain of (3x+1)/(x^3-5x^2+6x) ?
The domain of (3x+1)/(x^3-5x^2+6x) is x<0\lor 0<x<2\lor 2<x<3\lor x>3