What is the domain of (x^2)/(sqrt(6-x)) ?

The domain of (x^2)/(sqrt(6-x)) is x<6

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domain of (x^2)/(sqrt(6-x))

domain

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

x < 6

Interval Notation

(- \infty, 6)

Solution steps

Find non-negative values for radicals:

x \leq 6

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

x < 6

f (x) = \frac{x - 2}{x ^{2} + 6 x - 16}

f (x) = - 4 + 3 x - 12

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

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

f (y) = y - 4

What is the domain of (x^2)/(sqrt(6-x)) ?
The domain of (x^2)/(sqrt(6-x)) is x<6