What is the domain of f(x)=sqrt((x-2)/(x^2-3x+2)) ?

The domain of f(x)=sqrt((x-2)/(x^2-3x+2)) is 1 2

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domain of f(x)=sqrt((x-2)/(x^2-3x+2))

domain

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

1 < x < 2 or x > 2

Interval Notation

(1, 2) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

1 < x < 2 or x > 2

Find undefined (singularity) points:

x = 2, x = 1

Combine real regions and undefined points for final function domain

1 < x < 2 or x > 2

f (x) = \frac{4}{x - 5}

f (x) = 6 (3^{2 x - 8}) + 5

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

f (x) = \frac{1}{1 - lo g _{2} ( x - 1 )}

What is the domain of f(x)=sqrt((x-2)/(x^2-3x+2)) ?
The domain of f(x)=sqrt((x-2)/(x^2-3x+2)) is 1<x<2\lor x>2