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

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

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

domain

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

1 \leq x < \frac{3}{2}

Interval Notation

[1, \frac{3}{2})

Solution steps

Find non-negative values for radicals:

1 \leq x < \frac{3}{2}

Find undefined (singularity) points:

x = \frac{3}{2}

Combine real regions and undefined points for final function domain

1 \leq x < \frac{3}{2}

h (x) = (sin (x))

\frac{x - 6}{\frac{x - 6}{x - 9}}

f (x) = \frac{( 5 x )}{( 4 - x ^{2} )}

f (x) = 4 x + 44

lo g_{8} (x - 8)

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