What is the domain of f(x)=(ln(3-5x))/(1-|x+1|) ?

The domain of f(x)=(ln(3-5x))/(1-|x+1|) is x<-2\lor-2<x<0\lor 0<x< 3/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=(ln(3-5x))/(1-|x+1|)

domain

f (x) = \frac{ln ( 3 - 5 x )}{1 - ∣ x + 1 ∣}

x < - 2 or - 2 < x < 0 or 0 < x < \frac{3}{5}

Interval Notation

(- \infty, - 2) \cup (- 2, 0) \cup (0, \frac{3}{5})

Solution steps

Find positive values for logs:

x < \frac{3}{5}

Find undefined (singularity) points:

x = - 2, x = 0

Combine real regions and undefined points for final function domain

x < - 2 or - 2 < x < 0 or 0 < x < \frac{3}{5}

f (x) = lo g_{10} (x - 1) + 1

x + 6 - x^{2}

f (x) = \frac{6 x - 1}{( x - 3 ) ( x + 1 )}

(2 x - 1) + 5

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

What is the domain of f(x)=(ln(3-5x))/(1-|x+1|) ?
The domain of f(x)=(ln(3-5x))/(1-|x+1|) is x<-2\lor-2<x<0\lor 0<x< 3/5