What is the domain of f(x)=(|5-x|)/(x^2-12x+35) ?

The domain of f(x)=(|5-x|)/(x^2-12x+35) is x 7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=(|5-x|)/(x^2-12x+35)

domain

f (x) = \frac{∣ 5 - x ∣}{x ^{2} - 12 x + 35}

x < 5 or 5 < x < 7 or x > 7

Interval Notation

(- \infty, 5) \cup (5, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = 5

The function domain

x < 5 or 5 < x < 7 or x > 7

y = \frac{6}{8 - x - 2}

\frac{x - 3}{ln ( 5 - x )}

\frac{5 ln ( x )}{x ^{3}}

g (x) = x^{2} - 9 x - 36

What is the domain of f(x)=(|5-x|)/(x^2-12x+35) ?
The domain of f(x)=(|5-x|)/(x^2-12x+35) is x<5\lor 5<x<7\lor x>7