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

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

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

domain

g (x) = \frac{x ^{2} + 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) = (1.04)^{x}

2 cos (3 x - \frac{π}{2})

f (x) = \frac{7 x + 3}{x + 2}

5 sec (π x) d x

f (x) = 19 - x

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