What is the domain of f(x)=(x-1)/(x(x^2-2x-15)) ?

The domain of f(x)=(x-1)/(x(x^2-2x-15)) is x 5

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domain of f(x)=(x-1)/(x(x^2-2x-15))

domain

f (x) = \frac{x - 1}{x ( x ^{2} - 2 x - 15 )}

x < - 3 or - 3 < x < 0 or 0 < x < 5 or x > 5

Interval Notation

(- \infty, - 3) \cup (- 3, 0) \cup (0, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 3, x = 5

The function domain

x < - 3 or - 3 < x < 0 or 0 < x < 5 or x > 5

\frac{x ^{2} + x - 6}{( x + 8 ) ( x ^{2} - x - 2 )}

3 x^{4} + 4 x^{3} - 12 x^{2}

\frac{( x + 1 )}{( x ^{2} - 4 x + 3 )}

f (x) = ln (9 - 3 t)

f (x) = \frac{3 e ^{x} - 11}{20 e ^{x} + 14}

What is the domain of f(x)=(x-1)/(x(x^2-2x-15)) ?
The domain of f(x)=(x-1)/(x(x^2-2x-15)) is x<-3\lor-3<x<0\lor 0<x<5\lor x>5