What is the domain of f(x)= 8/(3/x-1) ?

The domain of f(x)= 8/(3/x-1) is x 3

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domain of f(x)= 8/(3/x-1)

domain

f (x) = \frac{8}{\frac{3}{x} - 1}

x < 0 or 0 < x < 3 or x > 3

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 3, x = 0

The function domain

x < 0 or 0 < x < 3 or x > 3

(- 5, 5), (2, - 5)

3 x 3 x^{2} + 4

y = 3 x

f (x) = 4 + ∣ x ∣

f (x) = lo g_{5} (\frac{1 - x}{1 + x})

What is the domain of f(x)= 8/(3/x-1) ?
The domain of f(x)= 8/(3/x-1) is x<0\lor 0<x<3\lor x>3