What is the domain of (x^2-2x+4)/(x-2) ?

The domain of (x^2-2x+4)/(x-2) is x 2

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domain of (x^2-2x+4)/(x-2)

domain

\frac{x ^{2} - 2 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

2 ln (x - 1)

f (x) = x^{2} - 2 x, x \geq 1

5 x^{2} + 4

f (x) = \frac{7 x + 1}{2 x ^{2} + 3 x}

2 x^{2} - 24 x + 64

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