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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of (2x+3)/(5x-2)

range

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

f (x) < \frac{2}{5} or f (x) > \frac{2}{5}

Interval Notation

(- \infty, \frac{2}{5}) \cup (\frac{2}{5}, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

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

Inverse of

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

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

Find the domain of each inverse function

Domain of

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

Combine the intervals

f (x) < \frac{2}{5} or f (x) > \frac{2}{5}

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

\frac{x + 1}{x ^{2} - 4 x - 12}

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

f (x) = ln (x^{2} - 2 x)

f (x) = 2 x^{2} + 2

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