What is the range of (4x)/(7x-1) ?

The range of (4x)/(7x-1) is f(x) 4/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of (4x)/(7x-1)

range

\frac{4 x}{7 x - 1}

f (x) < \frac{4}{7} or f (x) > \frac{4}{7}

Interval Notation

(- \infty, \frac{4}{7}) \cup (\frac{4}{7}, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{4 x}{7 x - 1}

Inverse of

\frac{4 x}{7 x - 1} : \frac{x}{7 x - 4}

\frac{x}{7 x - 4}

Find the domain of each inverse function

Domain of

\frac{x}{7 x - 4} : x < \frac{4}{7} or x > \frac{4}{7}

Combine the intervals

f (x) < \frac{4}{7} or f (x) > \frac{4}{7}

y = (sin (2 x))^{4 x}

f (x) = - 3 sin (x)

y = 3 x - 2

f (x) = \frac{x + 1}{x ^{2} - 9}

5 (0)

What is the range of (4x)/(7x-1) ?
The range of (4x)/(7x-1) is f(x)< 4/7 \lor f(x)> 4/7