What is the domain of f(x)=(sqrt(-x+10))/(x^3) ?

The domain of f(x)=(sqrt(-x+10))/(x^3) is x<0\lor 0<x<= 10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=(sqrt(-x+10))/(x^3)

domain

f (x) = \frac{- x + 10}{x ^{3}}

x < 0 or 0 < x \leq 10

Interval Notation

(- \infty, 0) \cup (0, 10]

Solution steps

Find non-negative values for radicals:

x \leq 10

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or 0 < x \leq 10

What is the domain of f(x)=(sqrt(-x+10))/(x^3) ?
The domain of f(x)=(sqrt(-x+10))/(x^3) is x<0\lor 0<x<= 10