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

3 x - 6

\frac{x ^{2} - 8}{x - 4}

f (x) = \frac{∣ 5 - x ∣}{x ^{2} - 12 x + 35}

y = \frac{6}{8 - x - 2}

\frac{x - 3}{ln ( 5 - x )}

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