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

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

range

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

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{2 x + 3}{x - 2}

Inverse of

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

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

Find the domain of each inverse function

Domain of

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

Combine the intervals

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

f (x) = 2 cos (x) + 1

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

x x

(- 2, 3), (4, 5)

f (x) = x^{3} - 12 x + 10

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