What is the domain of f(x)=(-3)/(x-2) ?

The domain of f(x)=(-3)/(x-2) is x 2

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domain of f(x)=(-3)/(x-2)

domain

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

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) = 2 x + 6 + 2 - x

f (x) = 30 - 4 x + 2 x^{2}

f (x) = 6 9 - 8 x + 7

\frac{x ^{2} - 2 x}{x ^{2} + x - 6}

f (x) = \frac{2 x + 5}{3 - x}

What is the domain of f(x)=(-3)/(x-2) ?
The domain of f(x)=(-3)/(x-2) is x<2\lor x>2