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

The domain of f(x)= 1/((x^2-20)) is x 2sqrt(5)

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

domain

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

x < - 25 or - 25 < x < 25 or x > 25

Solution steps

Find undefined (singularity) points:

x = 25, x = - 25

The function domain

x < - 25 or - 25 < x < 25 or x > 25

(- 3.1, - 2.8), (- 4.92, - 3.3)

f (x) = 5 x^{4} + 40 x^{3} - x^{2} - 8 x

f (x) = 5 (x + 4)^{2} - 1

f (x) = \frac{1}{x ^{2} + 1}

(5.6), (1.3)

What is the domain of f(x)= 1/((x^2-20)) ?
The domain of f(x)= 1/((x^2-20)) is x<-2sqrt(5)\lor-2sqrt(5)<x<2sqrt(5)\lor x>2sqrt(5)