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

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

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

domain

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

16 - 2 x

(\frac{1}{2 x ^{2} + 3}) + (3 x - 4)

y = \frac{2}{5 x + 3}

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

f (x) = \frac{18 x}{106 x}

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