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

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

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

domain

\frac{1}{- x ^{2} + 3 x - 2}

1 < x < 2

Interval Notation

(1, 2)

Solution steps

Find non-negative values for radicals:

1 \leq x \leq 2

Find undefined (singularity) points:

x = 1, x = 2

Combine real regions and undefined points for final function domain

1 < x < 2

f (x) = 3 x^{4} = 18 x^{2}

y = \frac{5 x - 26}{x + 2}

f (x) = \frac{4 x - ln ( 3 x )}{x}

f (x) = \frac{t}{16 - t ^{2}}

f (x) = - 2 - x + 1

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