What is the domain of (3x+12)/(-12x+4) ?

The domain of (3x+12)/(-12x+4) is x 1/3

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domain of (3x+12)/(-12x+4)

domain

\frac{3 x + 12}{- 12 x + 4}

x < \frac{1}{3} or x > \frac{1}{3}

Interval Notation

(- \infty, \frac{1}{3}) \cup (\frac{1}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{3}

The function domain

x < \frac{1}{3} or x > \frac{1}{3}

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

f (x) = x^{2} - 8 x + 14

f (x) = x^{2} - 8 x + 15

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

f (x) = 3 - e^{2 x}

What is the domain of (3x+12)/(-12x+4) ?
The domain of (3x+12)/(-12x+4) is x< 1/3 \lor x> 1/3