What is the domain of f(x)= 8/(-x^2-5x+14) ?

The domain of f(x)= 8/(-x^2-5x+14) is x 2

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domain of f(x)= 8/(-x^2-5x+14)

domain

f (x) = \frac{8}{- x ^{2} - 5 x + 14}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 7, x = 2

The function domain

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

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

f (x) = x^{2} - 6 x + 5

f (x) = 2 sin (\frac{1}{2} x)

\frac{x + 5}{x - 1}

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

What is the domain of f(x)= 8/(-x^2-5x+14) ?
The domain of f(x)= 8/(-x^2-5x+14) is x<-7\lor-7<x<2\lor x>2