What is the domain of (x^2-2x+6)/((x^2+2)(x-2)) ?

The domain of (x^2-2x+6)/((x^2+2)(x-2)) is x 2

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domain of (x^2-2x+6)/((x^2+2)(x-2))

domain

\frac{x ^{2} - 2 x + 6}{( x ^{2} + 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

f (x) = 3 \cdot x^{\frac{2}{3}} - 2 x

f (x) = lo g_{10} (\frac{2}{3} x - 4)

y x^{2} - 25 y - x = 0

f (x) = \frac{1}{4 - 2 x}

\frac{( - 2 x - 7 )}{9 x - 5}

What is the domain of (x^2-2x+6)/((x^2+2)(x-2)) ?
The domain of (x^2-2x+6)/((x^2+2)(x-2)) is x<2\lor x>2