What is the range of (-4-7x)/(3x-1) ?

The range of (-4-7x)/(3x-1) is f(x) -7/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of (-4-7x)/(3x-1)

range

\frac{- 4 - 7 x}{3 x - 1}

f (x) < - \frac{7}{3} or f (x) > - \frac{7}{3}

Interval Notation

(- \infty, - \frac{7}{3}) \cup (- \frac{7}{3}, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{- 4 - 7 x}{3 x - 1}

Inverse of

\frac{- 4 - 7 x}{3 x - 1} : \frac{- 4 + x}{3 x + 7}

\frac{- 4 + x}{3 x + 7}

Find the domain of each inverse function

Domain of

\frac{- 4 + x}{3 x + 7} : x < - \frac{7}{3} or x > - \frac{7}{3}

Combine the intervals

f (x) < - \frac{7}{3} or f (x) > - \frac{7}{3}

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

f (x) = 3 x - 2

y = - (x + 1)^{2}

(0, 7), (6, 9)

\frac{1}{x ^{3} - 2 x ^{2}}

What is the range of (-4-7x)/(3x-1) ?
The range of (-4-7x)/(3x-1) is f(x)<-7/3 \lor f(x)>-7/3