What is the domain of (x+9)/((x-1)(x-7)) ?

The domain of (x+9)/((x-1)(x-7)) is x 7

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domain of (x+9)/((x-1)(x-7))

domain

\frac{x + 9}{( x - 1 ) ( x - 7 )}

x < 1 or 1 < x < 7 or x > 7

Interval Notation

(- \infty, 1) \cup (1, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = 7

The function domain

x < 1 or 1 < x < 7 or x > 7

8 x

f (x) = 2 (x + 6)^{2} + 5

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

8 x - 5

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

What is the domain of (x+9)/((x-1)(x-7)) ?
The domain of (x+9)/((x-1)(x-7)) is x<1\lor 1<x<7\lor x>7