What is the domain of (x-3)/(x^2+2x-63) ?

The domain of (x-3)/(x^2+2x-63) is x 7

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domain of (x-3)/(x^2+2x-63)

domain

\frac{x - 3}{x ^{2} + 2 x - 63}

x < - 9 or - 9 < x < 7 or x > 7

Interval Notation

(- \infty, - 9) \cup (- 9, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 9

The function domain

x < - 9 or - 9 < x < 7 or x > 7

1 - 2 x

\frac{7 x}{x - 4}

f (x) = \frac{x - 1}{x ^{2} - 3 x + 2}

y = lo g_{6} (x - 1) - 5

y = \frac{x ^{2} - 9}{x ^{2} - 7 x + 12}

What is the domain of (x-3)/(x^2+2x-63) ?
The domain of (x-3)/(x^2+2x-63) is x<-9\lor-9<x<7\lor x>7