What is the range of-2/(x+1)+2 ?

The range of-2/(x+1)+2 is f(x) 2

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range of-2/(x+1)+2

range

- \frac{2}{x + 1} + 2

f (x) < 2 or f (x) > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

- \frac{2}{x + 1} + 2

Inverse of

- \frac{2}{x + 1} + 2 : - \frac{x}{x - 2}

- \frac{x}{x - 2}

Find the domain of each inverse function

Domain of

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

Combine the intervals

f (x) < 2 or f (x) > 2

f (x) = (5 - x)

x^{(4)} - 8 x^{(3)}

f (x) = - 16 t^{2} + 65 t + 6

f (x) = \frac{2 x + 9}{x - 3}

f (x) = x + 2 + 3