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

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

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

domain

f (x) = \frac{x + 4}{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

3 - x - 2 + x

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

f (x) = 15

f (x) = \frac{1}{x} y g (x) = \frac{1}{x ^{2}}

\frac{2 x + 3}{2 x - 1}

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