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

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

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

domain

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

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{4 x + 3}{2 x + 2}

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

f (x) = \frac{x ^{2} + 1}{x ^{2} - 3 x + 4}

h (x) = x - 7 + 5

y = \frac{x + 4}{x ^{2} - 3}

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