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

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

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

domain

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

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

g (x) = 5 - x

f (x) = x^{3} - 6 x^{2} + 12 x - 5

f (x) = 4 x

\frac{x}{x ^{2} - 4}

f (x) = 2 x + 1

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