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

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

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

domain

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

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

f (x) = (5 - x)^{\frac{1}{4}}

f (x) = - x^{7} + 9 x^{3} + 3 x

f (x) = 5 x^{3} + 6 x^{2} - 1

f (x) = (\frac{1}{x - 4})

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

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