What is the domain of f(x)=(12)/(x^2-25)-3 ?

The domain of f(x)=(12)/(x^2-25)-3 is x 5

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domain of f(x)=(12)/(x^2-25)-3

domain

f (x) = \frac{12}{x ^{2} - 25} - 3

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 5, x = - 5

The function domain

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

f (x) = x^{2} + 1, 0 \leq x \leq 5

f (x) = - 4 x + 10, x \neq = 3

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

f (x) = 5 - x^{3}

\frac{x - 7}{x + 12}

What is the domain of f(x)=(12)/(x^2-25)-3 ?
The domain of f(x)=(12)/(x^2-25)-3 is x<-5\lor-5<x<5\lor x>5