What is the domain of f(x)=(2x-16)/(x^2-16x) ?

The domain of f(x)=(2x-16)/(x^2-16x) is x 16

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domain of f(x)=(2x-16)/(x^2-16x)

domain

f (x) = \frac{2 x - 16}{x ^{2} - 16 x}

x < 0 or 0 < x < 16 or x > 16

Interval Notation

(- \infty, 0) \cup (0, 16) \cup (16, \infty)

Solution steps

Find undefined (singularity) points:

x = 16, x = 0

The function domain

x < 0 or 0 < x < 16 or x > 16

f (x) = - 4 x^{2} - 8 x - 3

(- 2.4) (4.3)

f (t) = - cos (t - \frac{π}{6}) + 1

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

3 x + 2 y = 8

What is the domain of f(x)=(2x-16)/(x^2-16x) ?
The domain of f(x)=(2x-16)/(x^2-16x) is x<0\lor 0<x<16\lor x>16