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

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

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

domain

f (x) = \frac{2 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

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

f (x) = 2 x^{3} + 3 x^{2} - 12 x

\frac{1}{x ^{2} + 2}

f (x) = lo g_{10} (4 + 3 x)

h (x) = 6 - x - x^{2}

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