What is the domain of f(x)= 1/((\frac{2){x-1})+2} ?

The domain of f(x)= 1/((\frac{2){x-1})+2} is x 1

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domain of f(x)= 1/((\frac{2){x-1})+2}

domain

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

x < 0 or 0 < x < 1 or x > 1

Interval Notation

(- \infty, 0) \cup (0, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = 1

The function domain

x < 0 or 0 < x < 1 or x > 1

4 x^{2} - 6 x + 8

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

f (x) = x^{2} + y^{2} = 8

r (x) = \frac{3 x + 1}{4 x - 1}

f (x) = (3 - 4 n)^{3}

What is the domain of f(x)= 1/((\frac{2){x-1})+2} ?
The domain of f(x)= 1/((\frac{2){x-1})+2} is x<0\lor 0<x<1\lor x>1