What is the domain of f(x)= 1/(2-x) ?

The domain of f(x)= 1/(2-x) is x 2

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domain of f(x)= 1/(2-x)

domain

f (x) = \frac{1}{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{1}{5} x^{2} - 1

f (x) = \frac{3}{x + 2}

f (x) = \frac{1}{10 2 x + 12 - 20}

f (x) = x^{3} - 12 x + 20

- \frac{3}{4}

What is the domain of f(x)= 1/(2-x) ?
The domain of f(x)= 1/(2-x) is x<2\lor x>2