What is the domain of f(x)=(sqrt(x-5))/(x-10) ?

The domain of f(x)=(sqrt(x-5))/(x-10) is 5 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-5))/(x-10)

domain

f (x) = \frac{x - 5}{x - 10}

5 \leq x < 10 or x > 10

Interval Notation

[5, 10) \cup (10, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

Find undefined (singularity) points:

x = 10

Combine real regions and undefined points for final function domain

5 \leq x < 10 or x > 10

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

x^{4}

f (x) = e^{- 1.5 x^{2}}

f (x) = 1 + (4 + x)^{\frac{1}{2}}

f (x) = (ln (t - 2))

What is the domain of f(x)=(sqrt(x-5))/(x-10) ?
The domain of f(x)=(sqrt(x-5))/(x-10) is 5<= x<10\lor x>10