What is the range of x/(1-7x) ?

The range of x/(1-7x) is f(x) -1/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of x/(1-7x)

range

\frac{x}{1 - 7 x}

f (x) < - \frac{1}{7} or f (x) > - \frac{1}{7}

Interval Notation

(- \infty, - \frac{1}{7}) \cup (- \frac{1}{7}, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{x}{1 - 7 x}

Inverse of

\frac{x}{1 - 7 x} : \frac{x}{7 x + 1}

\frac{x}{7 x + 1}

Find the domain of each inverse function

Domain of

\frac{x}{7 x + 1} : x < - \frac{1}{7} or x > - \frac{1}{7}

Combine the intervals

f (x) < - \frac{1}{7} or f (x) > - \frac{1}{7}

f (x) = - \frac{1}{2} x - \frac{3}{2}

y = 4 x + 6, (- 8, 10)

1 + x^{2}

7 x - 12 y = 14

y = x^{2} - 3 x

What is the range of x/(1-7x) ?
The range of x/(1-7x) is f(x)<-1/7 \lor f(x)>-1/7