What is the domain of (x*(x-3))/((5/(x+4)-3)(x-3)) ?

The domain of (x*(x-3))/((5/(x+4)-3)(x-3)) is x 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of (x*(x-3))/((5/(x+4)-3)(x-3))

domain

\frac{x \cdot ( x - 3 )}{( \frac{5}{x + 4} - 3 ) ( x - 3 )}

x < - 4 or - 4 < x < - \frac{7}{3} or - \frac{7}{3} < x < 3 or x > 3

Interval Notation

(- \infty, - 4) \cup (- 4, - \frac{7}{3}) \cup (- \frac{7}{3}, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{7}{3}, x = 3, x = - 4

The function domain

x < - 4 or - 4 < x < - \frac{7}{3} or - \frac{7}{3} < x < 3 or x > 3

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

f (x) = lo g_{10} (3) (x + 4)

f (x) = \frac{9 ( 5 + x )}{4}

f (x) = 1 + ln (x^{3} + 1)

f (x) = \frac{1}{4} lo g_{10} (x - 3) - 6

What is the domain of (x*(x-3))/((5/(x+4)-3)(x-3)) ?
The domain of (x*(x-3))/((5/(x+4)-3)(x-3)) is x<-4\lor-4<x<-7/3 \lor-7/3 <x<3\lor x>3