What is the domain of f(x)=(x-4)/(x^2+x-20) ?

The domain of f(x)=(x-4)/(x^2+x-20) is x 4

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domain of f(x)=(x-4)/(x^2+x-20)

domain

f (x) = \frac{x - 4}{x ^{2} + x - 20}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 4, x = - 5

The function domain

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

x^{2} - 11

x^{2} - 6 x + 8

f (x) = cos (x^{2} + 2)

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

\frac{2}{8 - x ^{3}}

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