What is the range of (x+2)/(x-6) ?

The range of (x+2)/(x-6) is f(x) 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of (x+2)/(x-6)

range

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

f (x) < 1 or f (x) > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

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

Inverse of

\frac{x + 2}{x - 6} : \frac{2 + 6 x}{x - 1}

\frac{2 + 6 x}{x - 1}

Find the domain of each inverse function

Domain of

\frac{2 + 6 x}{x - 1} : x < 1 or x > 1

Combine the intervals

f (x) < 1 or f (x) > 1

(- 3, - 5), (- 1, 0)

f (x) = 5 + 54 x - 2 x^{3}

f (x) = 2 x^{2} + 3 x - 1

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

f (x) = x^{2} - 6 x + 5

What is the range of (x+2)/(x-6) ?
The range of (x+2)/(x-6) is f(x)<1\lor f(x)>1