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

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

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

domain

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

x < 2

Interval Notation

(- \infty, 2)

Solution steps

Find non-negative values for radicals:

x \leq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x < 2

f (x) = (2 x - 5) + (2 x + 5)

- \frac{( x + 3 ) ^{2}}{20} + 1

\frac{5 x - 6}{x ^{2} - 36}

f (x) = \frac{x - 3}{x ^{2} - 5 x + 4}

y = x^{2} - 7 x

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