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

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

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

domain

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

x < 2 or 2 < x < 5 or x > 5

Interval Notation

(- \infty, 2) \cup (2, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = 5

The function domain

x < 2 or 2 < x < 5 or x > 5

9 x - 3

\frac{( x - 1 )}{2}

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

f (x) = 4 x^{4} - 16

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

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