What is the domain of ((x^5-16x))/(5x^3-6x^2+x) ?

The domain of ((x^5-16x))/(5x^3-6x^2+x) is x 1

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domain of ((x^5-16x))/(5x^3-6x^2+x)

domain

\frac{( x ^{5} - 16 x )}{5 x ^{3} - 6 x ^{2} + x}

x < 0 or 0 < x < \frac{1}{5} or \frac{1}{5} < x < 1 or x > 1

Interval Notation

(- \infty, 0) \cup (0, \frac{1}{5}) \cup (\frac{1}{5}, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = \frac{1}{5}, x = 1

The function domain

x < 0 or 0 < x < \frac{1}{5} or \frac{1}{5} < x < 1 or x > 1

f (x) = ln (x - 2) - 1

\frac{6 x - 12}{( x - 6 ) ( x + 1 )}

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

f (x) = x^{2} - 8 x + 4

x^{2} - 3 x - x^{2} - 2 x - 6

What is the domain of ((x^5-16x))/(5x^3-6x^2+x) ?
The domain of ((x^5-16x))/(5x^3-6x^2+x) is x<0\lor 0<x< 1/5 \lor 1/5 <x<1\lor x>1