What is the domain of (2x+8)/(-8x+4) ?

The domain of (2x+8)/(-8x+4) is x 1/2

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domain of (2x+8)/(-8x+4)

domain

\frac{2 x + 8}{- 8 x + 4}

x < \frac{1}{2} or x > \frac{1}{2}

Interval Notation

(- \infty, \frac{1}{2}) \cup (\frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{2}

The function domain

x < \frac{1}{2} or x > \frac{1}{2}

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

f (x) = x sin (\frac{1}{x})

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

f (x) = x - 7 + 8 - x

f (x) = 3 tan (2 x - \frac{π}{3})

What is the domain of (2x+8)/(-8x+4) ?
The domain of (2x+8)/(-8x+4) is x< 1/2 \lor x> 1/2