What is the range of (3x-2)/(x+5) ?

The range of (3x-2)/(x+5) is f(x) 3

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range of (3x-2)/(x+5)

range

\frac{3 x - 2}{x + 5}

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{3 x - 2}{x + 5}

Inverse of

\frac{3 x - 2}{x + 5} : \frac{- 2 - 5 x}{x - 3}

\frac{- 2 - 5 x}{x - 3}

Find the domain of each inverse function

Domain of

\frac{- 2 - 5 x}{x - 3} : x < 3 or x > 3

Combine the intervals

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

(2, 3), (2, 5)

sin (5 x)

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

f (x) = \frac{x ^{2} - 5}{4}

f (x) = 8 x - 8

What is the range of (3x-2)/(x+5) ?
The range of (3x-2)/(x+5) is f(x)<3\lor f(x)>3