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

The domain of f(x)=(x-6)/(-2x+3) is x 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

domain

x < \frac{3}{2} or x > \frac{3}{2}

Interval Notation

(- \infty, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{2}

The function domain

x < \frac{3}{2} or x > \frac{3}{2}

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