What is the range of 1/(x+6)+5 ?

The range of 1/(x+6)+5 is f(x) 5

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range of 1/(x+6)+5

range

\frac{1}{x + 6} + 5

f (x) < 5 or f (x) > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{1}{x + 6} + 5

Inverse of

\frac{1}{x + 6} + 5 : \frac{- 6 x + 31}{x - 5}

\frac{- 6 x + 31}{x - 5}

Find the domain of each inverse function

Domain of

\frac{- 6 x + 31}{x - 5} : x < 5 or x > 5

Combine the intervals

f (x) < 5 or f (x) > 5

- 4 x - 5 y = 7, (- 4, - 3)

x^{5} - 2

f (x) = x^{3} - x^{2} - x + 5

f (x) = \frac{x}{x ^{3} - 1}

f (x) = 3 x^{3} + 7 y = 6