What is the domain of f(x)= x/(x^2-225) ?

The domain of f(x)= x/(x^2-225) is x 15

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domain of f(x)= x/(x^2-225)

domain

f (x) = \frac{x}{x ^{2} - 225}

x < - 15 or - 15 < x < 15 or x > 15

Interval Notation

(- \infty, - 15) \cup (- 15, 15) \cup (15, \infty)

Solution steps

Find undefined (singularity) points:

x = 15, x = - 15

The function domain

x < - 15 or - 15 < x < 15 or x > 15

k (x) = \frac{x + 3}{x - 1}

f (x) = x^{3} - 12 x^{2} + 45 x - 54

\frac{∣ x ∣}{∣ x ∣ - 5}

f (x) = 3^{x - 3}

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

What is the domain of f(x)= x/(x^2-225) ?
The domain of f(x)= x/(x^2-225) is x<-15\lor-15<x<15\lor x>15