What is the domain of (3x+6)/(-6x+2) ?

The domain of (3x+6)/(-6x+2) is x 1/3

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domain of (3x+6)/(-6x+2)

domain

\frac{3 x + 6}{- 6 x + 2}

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

Solution steps

Find undefined (singularity) points:

x = \frac{1}{3}

The function domain

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

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

f (x) = 2 x^{3} - 3 x^{2} - 12 x + 4

y = \frac{6}{x} (x + 9)

f (x) = x^{2} + y^{2} = 36

f (x) = \frac{x ^{2} - 1}{4 x - 5}

What is the domain of (3x+6)/(-6x+2) ?
The domain of (3x+6)/(-6x+2) is x< 1/3 \lor x> 1/3