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

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

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

domain

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

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

\frac{1}{π} cos (3 x)

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

h (x) = - 2 x + 10

4 x^{2} - 100 x + 65

10 + 8 csc (\frac{π}{3} x + \frac{π}{4})

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