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

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

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range of 2/(x+2)+3

range

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

Inverse of

\frac{2}{x + 2} + 3 : \frac{- 2 x + 8}{x - 3}

\frac{- 2 x + 8}{x - 3}

Find the domain of each inverse function

Domain of

\frac{- 2 x + 8}{x - 3} : x < 3 or x > 3

Combine the intervals

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

p (w) = \frac{2}{3} w - 8

y = - 2 x - 1

e^{- x^{2}}

f (x) = \frac{6 ^{x}}{2}

f (x) = 2 x + 2 x^{2} - 2 x^{3}