What is the domain of (x^2+x-56)/(x^2-5x-14) ?

The domain of (x^2+x-56)/(x^2-5x-14) is x 7

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domain of (x^2+x-56)/(x^2-5x-14)

domain

\frac{x ^{2} + x - 56}{x ^{2} - 5 x - 14}

x < - 2 or - 2 < x < 7 or x > 7

Interval Notation

(- \infty, - 2) \cup (- 2, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 2

The function domain

x < - 2 or - 2 < x < 7 or x > 7

- \frac{1}{x + 6}

f (x) = sin (x) - ln (x)

f (x) = x - 2 \frac{3 x ^{2} - 7 x + 5}{9 - x ^{2}}

(\frac{x ^{2} + 2 x}{x ^{2} + 7})^{5 x}

- 4^{x}

What is the domain of (x^2+x-56)/(x^2-5x-14) ?
The domain of (x^2+x-56)/(x^2-5x-14) is x<-2\lor-2<x<7\lor x>7