What is the domain of-1/(x^2+6x-7) ?

The domain of-1/(x^2+6x-7) is x 1

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domain of-1/(x^2+6x-7)

domain

- \frac{1}{x ^{2} + 6 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

\frac{2}{3} x - 4

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

\frac{x + 2}{x ^{2} - 2 x - 3}

f (x) = - x - 3

f (x) = x + 2, x < 0

What is the domain of-1/(x^2+6x-7) ?
The domain of-1/(x^2+6x-7) is x<-7\lor-7<x<1\lor x>1