What is the domain of f(x)=sqrt(x-2)-log_{5}(10-x) ?

The domain of f(x)=sqrt(x-2)-log_{5}(10-x) is 2<= x<10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=sqrt(x-2)-log_{5}(10-x)

domain

f (x) = x - 2 - lo g_{5} (10 - x)

2 \leq x < 10

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 2

Find positive values for logs:

x < 10

Combine real regions and undefined points for final function domain

2 \leq x < 10

\frac{x + 7}{x - 6}

\frac{x ^{2} + 1}{x ^{2} - 3 x + 4}

\frac{x + 7}{x - 7}

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

f (x) = x + 21

What is the domain of f(x)=sqrt(x-2)-log_{5}(10-x) ?
The domain of f(x)=sqrt(x-2)-log_{5}(10-x) is 2<= x<10