What is the domain of f(x)=(4-x^2)/(2-x) ?

The domain of f(x)=(4-x^2)/(2-x) is x 2

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domain of f(x)=(4-x^2)/(2-x)

domain

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

f (x) = - 3

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

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

f (x) = 2 x + 10

What is the domain of f(x)=(4-x^2)/(2-x) ?
The domain of f(x)=(4-x^2)/(2-x) is x<2\lor x>2