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

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

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

range

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

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{1}{1 - x}

Inverse of

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

- \frac{1 - x}{x}

Find the domain of each inverse function

Domain of

- \frac{1 - x}{x} : x < 0 or x > 0

Combine the intervals

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

f (x) = x^{3} + 1

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

f (x) = - \frac{6}{7} x + 6

2 + \frac{2 a ^{3}}{x ^{3}}

y = \frac{1}{2} x + 3

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