What is the range of 2/(x-2)-8 ?

The range of 2/(x-2)-8 is f(x) -8

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range of 2/(x-2)-8

range

\frac{2}{x - 2} - 8

f (x) < - 8 or f (x) > - 8

Interval Notation

(- \infty, - 8) \cup (- 8, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{2}{x - 2} - 8

Inverse of

\frac{2}{x - 2} - 8 : \frac{2 x + 18}{x + 8}

\frac{2 x + 18}{x + 8}

Find the domain of each inverse function

Domain of

\frac{2 x + 18}{x + 8} : x < - 8 or x > - 8

Combine the intervals

f (x) < - 8 or f (x) > - 8

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

ln (x - 1) - 1

f (x) = \frac{4 x ^{2} + 4 x - 1}{2 x ^{3} + 8 x ^{2}}

f (x) = \frac{x}{x + 5}

f (x) = (1.05)^{x}