What is the domain of y= 2/((x-3)(x-8)) ?

The domain of y= 2/((x-3)(x-8)) is x 8

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domain of y= 2/((x-3)(x-8))

domain

y = \frac{2}{( x - 3 ) ( x - 8 )}

x < 3 or 3 < x < 8 or x > 8

Interval Notation

(- \infty, 3) \cup (3, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = 8

The function domain

x < 3 or 3 < x < 8 or x > 8

What is the domain of y= 2/((x-3)(x-8)) ?
The domain of y= 2/((x-3)(x-8)) is x<3\lor 3<x<8\lor x>8