What is the domain of f(x)=(x-4)/(x-2) ?

The domain of f(x)=(x-4)/(x-2) is x 2

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domain of f(x)=(x-4)/(x-2)

domain

f (x) = \frac{x - 4}{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

f (x) = - x + 2

\frac{x ^{2} + 3 x + 2}{- 3 x - 12}

2^{x - 1} + 2

f (x) = - x + 2 + 3

f (x) = ((3 x - 8) - (x - 1)) (x)

What is the domain of f(x)=(x-4)/(x-2) ?
The domain of f(x)=(x-4)/(x-2) is x<2\lor x>2