What is the domain of f(x)=(x^3)/(sqrt(9-x)) ?

The domain of f(x)=(x^3)/(sqrt(9-x)) is x<9

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domain of f(x)=(x^3)/(sqrt(9-x))

domain

f (x) = \frac{x ^{3}}{9 - x}

x < 9

Interval Notation

(- \infty, 9)

Solution steps

Find non-negative values for radicals:

x \leq 9

Find undefined (singularity) points:

x = 9

Combine real regions and undefined points for final function domain

x < 9

f (x) = x^{2} - 8 x + \frac{63}{4}

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

f (x) = lo g_{7} (x)

tan (x)

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

What is the domain of f(x)=(x^3)/(sqrt(9-x)) ?
The domain of f(x)=(x^3)/(sqrt(9-x)) is x<9