What is the domain of f(x)= 9/(100-x^2) ?

The domain of f(x)= 9/(100-x^2) is x 10

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domain of f(x)= 9/(100-x^2)

domain

f (x) = \frac{9}{100 - x ^{2}}

x < - 10 or - 10 < x < 10 or x > 10

Interval Notation

(- \infty, - 10) \cup (- 10, 10) \cup (10, \infty)

Solution steps

Find undefined (singularity) points:

x = 10, x = - 10

The function domain

x < - 10 or - 10 < x < 10 or x > 10

f (x) = \frac{1}{3 - x}

3 cot (\frac{1}{2} x) - 2

\frac{x}{2}

y = tan (4 x)

f (x) = \frac{2 x + 3}{3 x ^{2} + x - 10}

What is the domain of f(x)= 9/(100-x^2) ?
The domain of f(x)= 9/(100-x^2) is x<-10\lor-10<x<10\lor x>10