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

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

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

domain

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

x < 0 or 0 < x < 5 or x > 5

Interval Notation

(- \infty, 0) \cup (0, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 0

The function domain

x < 0 or 0 < x < 5 or x > 5

π

f (x) = x - 3

f (x) = x^{2} - 6 x + 13

(- 6, 11), (6, - 3)

y = 2 \cdot 3^{x} - 3

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