What is the domain of (-2x^2)/((x-1)(x+7)) ?

The domain of (-2x^2)/((x-1)(x+7)) is x 1

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domain of (-2x^2)/((x-1)(x+7))

domain

\frac{- 2 x ^{2}}{( x - 1 ) ( x + 7 )}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1, x = - 7

The function domain

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

f (x) = 3 + 16 - (x - 3)^{2}

f (x) = 3 x^{2} - 9 x + 8

- 2 ln (x - 3)

f (x) = lo g_{4} (x + 9)

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

What is the domain of (-2x^2)/((x-1)(x+7)) ?
The domain of (-2x^2)/((x-1)(x+7)) is x<-7\lor-7<x<1\lor x>1