What is the domain of f(x)=(x-5)/(x^2-x-20) ?

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

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

domain

f (x) = \frac{x - 5}{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

f (x) = \frac{x - 3}{x - 8}

x^{4} - x^{2} + x

f (x) = x 3 x - 5

f (x) = \frac{x ^{4}}{9} - 2 x^{2}

\frac{x - 1}{1 - x}

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