What is the range of f(x)=(5-2x)/(6x+3) ?

The range of f(x)=(5-2x)/(6x+3) is f(x) -1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of f(x)=(5-2x)/(6x+3)

range

f (x) = \frac{5 - 2 x}{6 x + 3}

f (x) < - \frac{1}{3} or f (x) > - \frac{1}{3}

Interval Notation

(- \infty, - \frac{1}{3}) \cup (- \frac{1}{3}, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{5 - 2 x}{6 x + 3}

Inverse of

\frac{5 - 2 x}{6 x + 3} : \frac{5 - 3 x}{2 ( 1 + 3 x )}

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

Find the domain of each inverse function

Domain of

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

Combine the intervals

f (x) < - \frac{1}{3} or f (x) > - \frac{1}{3}

f (x) = - x + 2

\frac{t}{t - 3} + 4

f (x) = \frac{x + 7}{3}

\frac{1}{4} lo g_{4} (x)

f (x) = 3 x^{2}, x \geq 0

What is the range of f(x)=(5-2x)/(6x+3) ?
The range of f(x)=(5-2x)/(6x+3) is f(x)<-1/3 \lor f(x)>-1/3