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

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

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

domain

f (x) = \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

\frac{x}{2 x - 5}

y = 6 x - 1

2 x^{4} - 30 x^{2}

8 x - 4 y = 16

(1 - 6) (3 - 2)

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