What is the domain of f(x)=(x-8)/(5x^2) ?

The domain of f(x)=(x-8)/(5x^2) is x 0

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domain of f(x)=(x-8)/(5x^2)

domain

f (x) = \frac{x - 8}{5 x ^{2}}

x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

4 + 8 x - 5 x^{2}

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

f (x) = - x^{2}

(- 4, - 18), (3, - 15)

3 x - 12

What is the domain of f(x)=(x-8)/(5x^2) ?
The domain of f(x)=(x-8)/(5x^2) is x<0\lor x>0