What is the domain of f(x)= 4/(3x-x^2) ?

The domain of f(x)= 4/(3x-x^2) is x 3

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domain of f(x)= 4/(3x-x^2)

domain

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

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

\frac{1}{- x ^{2} + 6 x}

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

f (x) = \frac{3 x}{x - 8}

f (x) = - 4 x + 1 = - 5

y = 1 - \frac{x ^{2}}{9}

What is the domain of f(x)= 4/(3x-x^2) ?
The domain of f(x)= 4/(3x-x^2) is x<0\lor 0<x<3\lor x>3