What is the domain of f(x)=(-4)/(3x)+1/(3(x-3)) ?

The domain of f(x)=(-4)/(3x)+1/(3(x-3)) is x 3

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domain of f(x)=(-4)/(3x)+1/(3(x-3))

domain

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

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

f (x) = \frac{8 x + 2}{6 x + 6}

lo g_{3} (x + 7)

5 + x - 2

\frac{6 x - 35}{- 7 x + 69}

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

What is the domain of f(x)=(-4)/(3x)+1/(3(x-3)) ?
The domain of f(x)=(-4)/(3x)+1/(3(x-3)) is x<0\lor 0<x<3\lor x>3