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

The range of f(x)=(-3)/(x-2) is f(x) 0

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

range

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

f (x) < 0 or f (x) > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{- 3}{x - 2}

Inverse of

\frac{- 3}{x - 2} : - \frac{3}{x} + 2

- \frac{3}{x} + 2

Find the domain of each inverse function

Domain of

- \frac{3}{x} + 2 : x < 0 or x > 0

Combine the intervals

f (x) < 0 or f (x) > 0

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

f (x) = y

f (x) = \frac{3}{2 x - 4}

(x - 7)^{2} - 8

f (x) = x

What is the range of f(x)=(-3)/(x-2) ?
The range of f(x)=(-3)/(x-2) is f(x)<0\lor f(x)>0