What is the domain of f(x)=(3x+2)/(1-x) ?

The domain of f(x)=(3x+2)/(1-x) is x 1

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domain of f(x)=(3x+2)/(1-x)

domain

f (x) = \frac{3 x + 2}{1 - x}

x < 1 or x > 1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

f (x) = arccos (\frac{5 x - 1}{3})

\frac{x ^{2} + 2 x}{x - 1}

- 4 x^{2} + 12 x - 9

f (x) = \frac{10}{6 x - 30}

x - 1 + 2

What is the domain of f(x)=(3x+2)/(1-x) ?
The domain of f(x)=(3x+2)/(1-x) is x<1\lor x>1