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

The range of f(x)= 2/(x-1) is f(x) 0

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

range

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

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{2}{x - 1}

Inverse of

\frac{2}{x - 1} : \frac{2}{x} + 1

\frac{2}{x} + 1

Find the domain of each inverse function

Domain of

\frac{2}{x} + 1 : x < 0 or x > 0

Combine the intervals

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

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

\frac{x - 4}{3 x + 5}

f (x) = lo g_{3} (x + 6)

- 3 y = 27

\frac{x}{x + 2}

What is the range of f(x)= 2/(x-1) ?
The range of f(x)= 2/(x-1) is f(x)<0\lor f(x)>0