What is the domain of f(x)=ln(x+2)-1/(sqrt(3-x)) ?

The domain of f(x)=ln(x+2)-1/(sqrt(3-x)) is -2<x<3

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(x+2)-1/(sqrt(3-x))

domain

f (x) = ln (x + 2) - \frac{1}{3 - x}

- 2 < x < 3

Solution steps

Find non-negative values for radicals:

x \leq 3

Find positive values for logs:

x > - 2

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

- 2 < x < 3

f (x) = ln (x^{2} + 2 x - 8)

f (x) = \frac{x + 6}{2 x - 4}

f (x) = \frac{2 x - 5}{x + 4}

f (x) = \frac{5}{x - 7}

f (x) = \frac{2 x ^{2}}{x ^{2} - 9}

What is the domain of f(x)=ln(x+2)-1/(sqrt(3-x)) ?
The domain of f(x)=ln(x+2)-1/(sqrt(3-x)) is -2<x<3