What is the range of (10x-1)/(3-5x) ?

The range of (10x-1)/(3-5x) is f(x) -2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of (10x-1)/(3-5x)

range

\frac{10 x - 1}{3 - 5 x}

f (x) < - 2 or f (x) > - 2

Interval Notation

(- \infty, - 2) \cup (- 2, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{10 x - 1}{3 - 5 x}

Inverse of

\frac{10 x - 1}{3 - 5 x} : - \frac{- 1 - 3 x}{5 ( 2 + x )}

- \frac{- 1 - 3 x}{5 ( 2 + x )}

Find the domain of each inverse function

Domain of

- \frac{- 1 - 3 x}{5 ( 2 + x )} : x < - 2 or x > - 2

Combine the intervals

f (x) < - 2 or f (x) > - 2

f (x) = 5 x + 3

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

f (x) = \frac{1}{4 x ^{2} - 17 x + 4}

\frac{( 2 x - 1 )}{2 x + 5}

f (x) = - x^{4}

What is the range of (10x-1)/(3-5x) ?
The range of (10x-1)/(3-5x) is f(x)<-2\lor f(x)>-2