What is the domain of f(x)=sqrt(x-4)-3/(5-x) ?

The domain of f(x)=sqrt(x-4)-3/(5-x) is 4 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)=sqrt(x-4)-3/(5-x)

domain

f (x) = x - 4 - \frac{3}{5 - x}

4 \leq x < 5 or x > 5

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

4 \leq x < 5 or x > 5

y = \frac{x ^{2}}{x ^{2} - 9}

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

f (x) = e^{10 x}

ln (x) + \frac{1}{x ^{2} - 1}

f (x) = 7 + ln (3 x + 1)

What is the domain of f(x)=sqrt(x-4)-3/(5-x) ?
The domain of f(x)=sqrt(x-4)-3/(5-x) is 4<= x<5\lor x>5