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

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

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

domain

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

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

∣ x + 4 ∣

f (x) = \frac{x - 4}{x ^{2} - 25}

\frac{5 x ^{2}}{3 + x}

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

f (y) = \frac{x - 5}{x ^{2} - 4 x}

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