What is the domain of f(x)= 6/(4/x-1) ?

The domain of f(x)= 6/(4/x-1) is x 4

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domain of f(x)= 6/(4/x-1)

domain

f (x) = \frac{6}{\frac{4}{x} - 1}

x < 0 or 0 < x < 4 or x > 4

Interval Notation

(- \infty, 0) \cup (0, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = 0

The function domain

x < 0 or 0 < x < 4 or x > 4

f (x) = \frac{ln ( x ^{2} - 4 )}{2 x ^{2} + x - 15}

(- 1, - 2), (2, 4)

(x + 3)^{3} - 1

f (x) = (x - 3) x

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

What is the domain of f(x)= 6/(4/x-1) ?
The domain of f(x)= 6/(4/x-1) is x<0\lor 0<x<4\lor x>4