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

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

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

domain

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

x < 1 or x > 2

Solution steps

Find non-negative values for radicals:

x \leq 1 or x \geq 2

Find undefined (singularity) points:

x = 2, x = 1

Combine real regions and undefined points for final function domain

x < 1 or x > 2

y = lo g_{6} (x - 1) - 5

y = \frac{x ^{2} - 9}{x ^{2} - 7 x + 12}

\frac{x + 3}{x - 1}

2 e^{x} - 5

lo g_{5} (\frac{( x + 1 )}{x})

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