What is the range of 4/(2-x) ?

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range of 4/(2-x)

range

\frac{4}{2 - 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{4}{2 - x}

Inverse of

\frac{4}{2 - x} : - \frac{4 - 2 x}{x}

- \frac{4 - 2 x}{x}

Find the domain of each inverse function

Domain of

- \frac{4 - 2 x}{x} : x < 0 or x > 0

Combine the intervals

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

in v erse \frac{x - 6}{x + 6}

in v erse f (x) = lo g_{2} (2 x)

e x t re m e cos (x)

d o main f (x) = \frac{x + 1}{2 x + 39 + x}

p a r i t y ln (tan (x) + sec (x))