What is the domain of-1/(2(1-x)^{5/2)} ?

The domain of-1/(2(1-x)^{5/2)} is x<1

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domain of-1/(2(1-x)^{5/2)}

domain

- \frac{1}{2 ( 1 - x ) ^{\frac{5}{2}}}

x < 1

Interval Notation

(- \infty, 1)

Solution steps

Find non-negative values for radicals:

x \leq 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x < 1

3 x - 5 + 2 x + 1

f (x) = \frac{5 x + x ^{2}}{x ^{2} + x ^{3} - x + 1}

\frac{- 3 x}{x ^{4} - 3}

\frac{1}{x ^{2} + 10}

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