What is the domain of f(x)=(x+5)/(2-x) ?

The domain of f(x)=(x+5)/(2-x) is x 2

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domain of f(x)=(x+5)/(2-x)

domain

f (x) = \frac{x + 5}{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

\frac{( 6 x - 24 )}{2 x - 5}

y = \frac{x ^{2} + 1}{3 x - 2 x ^{2}}

f (x) = \frac{1 - 41 x}{x}

(10, - 7), (- 4, 1)

2 sin (2 x) + 3

What is the domain of f(x)=(x+5)/(2-x) ?
The domain of f(x)=(x+5)/(2-x) is x<2\lor x>2