What is the domain of (x^2)/(sqrt(5-x)) ?

The domain of (x^2)/(sqrt(5-x)) is x<5

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domain of (x^2)/(sqrt(5-x))

domain

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

x < 5

Interval Notation

(- \infty, 5)

Solution steps

Find non-negative values for radicals:

x \leq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x < 5

sin (x), - \frac{π}{2} < x < \frac{π}{2}

f (x) = \frac{- 12 ( 3 x ^{2} + 4 )}{( x ^{2} - 4 ) ^{3}}

f (x) = ln (x + x^{2} - 1)

f (x) = \frac{x + 7}{2}

f (x) = lo g_{10} (14 - x)

What is the domain of (x^2)/(sqrt(5-x)) ?
The domain of (x^2)/(sqrt(5-x)) is x<5