What is the domain of f(x)= 1/(20-8x-x^2) ?

The domain of f(x)= 1/(20-8x-x^2) is x 2

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domain of f(x)= 1/(20-8x-x^2)

domain

f (x) = \frac{1}{20 - 8 x - x ^{2}}

x < - 10 or - 10 < x < 2 or x > 2

Interval Notation

(- \infty, - 10) \cup (- 10, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 10, x = 2

The function domain

x < - 10 or - 10 < x < 2 or x > 2

f (x) = \frac{2 x - 1}{2 x ^{2} - 5 x - 6}

\frac{2 x ^{2}}{x + 1}

f (x) = ln (\frac{x + 4}{4 x - 16})

\frac{cos ( t ^{2} )}{1 - e ^{t}}

- \frac{28}{x}

What is the domain of f(x)= 1/(20-8x-x^2) ?
The domain of f(x)= 1/(20-8x-x^2) is x<-10\lor-10<x<2\lor x>2