What is the domain of f(x)=(15-x)/(x^2+2x-15) ?

The domain of f(x)=(15-x)/(x^2+2x-15) is x 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=(15-x)/(x^2+2x-15)

domain

f (x) = \frac{15 - x}{x ^{2} + 2 x - 15}

x < - 5 or - 5 < x < 3 or x > 3

Interval Notation

(- \infty, - 5) \cup (- 5, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 5

The function domain

x < - 5 or - 5 < x < 3 or x > 3

g (x) = 4^{x} + 1

f (x) = - x^{3} + 1

f (x) = 4 x - 15

f (x) = 16 + b^{2}

What is the domain of f(x)=(15-x)/(x^2+2x-15) ?
The domain of f(x)=(15-x)/(x^2+2x-15) is x<-5\lor-5<x<3\lor x>3