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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of 1/(x+6)

range

\frac{1}{x + 6}

f (x) < 0 or f (x) > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{1}{x + 6}

Inverse of

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

\frac{1}{x} - 6

Find the domain of each inverse function

Domain of

\frac{1}{x} - 6 : x < 0 or x > 0

Combine the intervals

f (x) < 0 or f (x) > 0

- 5 x + 4

(2, 1), (8, 3)

\frac{3 x}{x - 2}

f (x) = 6 x^{3} - 6 x - 2 x^{2} + 2

- \frac{6}{x ^{2}}