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

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

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

domain

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

x < 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

\frac{x + 2}{x + 3}

f (x) = ln (x) + 7

f (x) = x^{2} - 9

f (x) = 4 csc (4 x)

x^{2} + 3

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