What is the domain of f(x)=(x^3)/(sqrt(2-x)) ?

The domain of f(x)=(x^3)/(sqrt(2-x)) is x<2

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domain of f(x)=(x^3)/(sqrt(2-x))

domain

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

x < 2

Interval Notation

(- \infty, 2)

Solution steps

Find non-negative values for radicals:

x \leq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x < 2

f (x) = 8 x^{3} + x^{2} + 8 x

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

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

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

y = 8

What is the domain of f(x)=(x^3)/(sqrt(2-x)) ?
The domain of f(x)=(x^3)/(sqrt(2-x)) is x<2