What is the domain of f(x)=(7-2x^2)/(3-2x) ?

The domain of f(x)=(7-2x^2)/(3-2x) is x 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=(7-2x^2)/(3-2x)

domain

f (x) = \frac{7 - 2 x ^{2}}{3 - 2 x}

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}

\frac{3 x ^{2}}{x ^{2} + 1}

\frac{( 3 x ^{2} + x )}{x ^{2} + 4}

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

f (p) = \frac{p - 3}{p ^{2} + 4 p - 21}

f (x) = \frac{x - 7}{x}

What is the domain of f(x)=(7-2x^2)/(3-2x) ?
The domain of f(x)=(7-2x^2)/(3-2x) is x< 3/2 \lor x> 3/2