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

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

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range of (4x-4)/(x+2)

range

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

f (x) < 4 or f (x) > 4

Interval Notation

(- \infty, 4) \cup (4, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

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

Inverse of

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

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

Find the domain of each inverse function

Domain of

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

Combine the intervals

f (x) < 4 or f (x) > 4

f (x) = x + x - 1

x^{2} - 81

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

f (x) = - x^{3} + 4 x + 9

(- 2, 2), (0, 0)

What is the range of (4x-4)/(x+2) ?
The range of (4x-4)/(x+2) is f(x)<4\lor f(x)>4