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

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

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

domain

f (x) = \frac{4 + x}{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) = \frac{x ^{2}}{6} + 4

\frac{x}{- 4 x + 7}

\frac{6 x ^{2} + 7 x - 3}{3 x ^{2} - 4 x + 1}

f (x) = \frac{1}{5 x - 15}

x^{2}, x < 0

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