What is the domain of y=((x-4))/(-2x+12) ?

The domain of y=((x-4))/(-2x+12) is x 6

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domain of y=((x-4))/(-2x+12)

domain

y = \frac{( x - 4 )}{- 2 x + 12}

x < 6 or x > 6

Interval Notation

(- \infty, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6

The function domain

x < 6 or x > 6

f (x) = (x - 2)^{2} - 7

(x - 3)^{2} - 9

f (x) = \frac{3}{x + 6}

f (x) = \frac{1 - 4 x}{3 x + 7}

f (x) = x + 6 - \frac{7 - x}{x}

What is the domain of y=((x-4))/(-2x+12) ?
The domain of y=((x-4))/(-2x+12) is x<6\lor x>6