What is the domain of f(x)=(9x-4)/(2-x) ?

The domain of f(x)=(9x-4)/(2-x) is x 2

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domain of f(x)=(9x-4)/(2-x)

domain

f (x) = \frac{9 x - 4}{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{1}{2 ( 2 x + 4 ) + 4}

(- 2, - 3), (- 7, - 2)

f (x) = \frac{x + 4}{x - 5}

3

y = \frac{5}{4 x - 8}

What is the domain of f(x)=(9x-4)/(2-x) ?
The domain of f(x)=(9x-4)/(2-x) is x<2\lor x>2