What is the range of 2/(x-4)-3 ?

The range of 2/(x-4)-3 is f(x) -3

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range of 2/(x-4)-3

range

\frac{2}{x - 4} - 3

f (x) < - 3 or f (x) > - 3

Interval Notation

(- \infty, - 3) \cup (- 3, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{2}{x - 4} - 3

Inverse of

\frac{2}{x - 4} - 3 : \frac{4 x + 14}{x + 3}

\frac{4 x + 14}{x + 3}

Find the domain of each inverse function

Domain of

\frac{4 x + 14}{x + 3} : x < - 3 or x > - 3

Combine the intervals

f (x) < - 3 or f (x) > - 3

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

(x + 1)^{3}

0.2 x + 0.3 y = 0.5

f (x) = t + 1

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