What is the domain of f(x)=(sqrt(-x^2+3x-2))/(2x-4) ?

The domain of f(x)=(sqrt(-x^2+3x-2))/(2x-4) is 1<= x<2

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domain of f(x)=(sqrt(-x^2+3x-2))/(2x-4)

domain

1 \leq x < 2

Interval Notation

[1, 2)

Solution steps

Find non-negative values for radicals:

1 \leq x \leq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

1 \leq x < 2

What is the domain of f(x)=(sqrt(-x^2+3x-2))/(2x-4) ?
The domain of f(x)=(sqrt(-x^2+3x-2))/(2x-4) is 1<= x<2