What is the domain of f(x)= 3/(\frac{3){x-1}-1} ?

The domain of f(x)= 3/(\frac{3){x-1}-1} is x 4

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domain of f(x)= 3/(\frac{3){x-1}-1}

domain

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

x < 1 or 1 < x < 4 or x > 4

Interval Notation

(- \infty, 1) \cup (1, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = 1

The function domain

x < 1 or 1 < x < 4 or x > 4

f (x) = \frac{x - 4}{x ^{2} - 16}

f (x) = 1 - x^{2}

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

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

f (x) = \frac{3}{x}

What is the domain of f(x)= 3/(\frac{3){x-1}-1} ?
The domain of f(x)= 3/(\frac{3){x-1}-1} is x<1\lor 1<x<4\lor x>4