What is the domain of f(x)=(-10)/(x^2-x-20) ?

The domain of f(x)=(-10)/(x^2-x-20) is x 5

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domain of f(x)=(-10)/(x^2-x-20)

domain

f (x) = \frac{- 10}{x ^{2} - x - 20}

x < - 4 or - 4 < x < 5 or x > 5

Interval Notation

(- \infty, - 4) \cup (- 4, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 4

The function domain

x < - 4 or - 4 < x < 5 or x > 5

\frac{x + 5}{3 x ^{2} + 10 x + 3}

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

lo g_{10} (2 ((x - 1)) + 1)

f (x) = \frac{1}{4 x + 1}

4 x^{2} + 8 x + 3

What is the domain of f(x)=(-10)/(x^2-x-20) ?
The domain of f(x)=(-10)/(x^2-x-20) is x<-4\lor-4<x<5\lor x>5