What is the domain of (x+2)/(x^2-3x-28) ?

The domain of (x+2)/(x^2-3x-28) is x 7

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domain of (x+2)/(x^2-3x-28)

domain

\frac{x + 2}{x ^{2} - 3 x - 28}

x < - 4 or - 4 < x < 7 or x > 7

Interval Notation

(- \infty, - 4) \cup (- 4, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 4

The function domain

x < - 4 or - 4 < x < 7 or x > 7

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

f (x) = \frac{2}{( x ^{2} - 6 x + 8 )}

f (x) = \frac{9}{2 x + 1}

y = \frac{1}{2 x ^{2} - 3 x + 4}

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

What is the domain of (x+2)/(x^2-3x-28) ?
The domain of (x+2)/(x^2-3x-28) is x<-4\lor-4<x<7\lor x>7