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

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

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0, x = 2

The function domain

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

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

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

f (x) = 10 + 3 x^{2}

f (x) = \frac{2}{9 x + 4}

f (x) = (x + 5)^{2} + 4

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