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

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

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0, x = 3

The function domain

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

2 ∣ x ∣

f (x) = 3 x + 4

f (x) = 4 x^{2} - 8

y = \frac{1}{2} x

x^{5} - 5 x

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