What is the domain of (x^2+13x+42)/(x^2-3x-28) ?

The domain of (x^2+13x+42)/(x^2-3x-28) is x 7

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domain of (x^2+13x+42)/(x^2-3x-28)

domain

\frac{x ^{2} + 13 x + 42}{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{( 12 x - 4 )}{( 7 - 6 x )}

\frac{1 - 3 a}{7}

y = (\frac{17}{21})^{x}

ln (t - 1)

f (x) = lo g_{10} (x - 1) - 3

What is the domain of (x^2+13x+42)/(x^2-3x-28) ?
The domain of (x^2+13x+42)/(x^2-3x-28) is x<-4\lor-4<x<7\lor x>7