What is the domain of f(x)=(2x+7)/(x^2-7x+10) ?

The domain of f(x)=(2x+7)/(x^2-7x+10) is x 5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=(2x+7)/(x^2-7x+10)

domain

f (x) = \frac{2 x + 7}{x ^{2} - 7 x + 10}

x < 2 or 2 < x < 5 or x > 5

Interval Notation

(- \infty, 2) \cup (2, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 2

The function domain

x < 2 or 2 < x < 5 or x > 5

d o main f (x) = \frac{4 x}{x - 3}

r an g e f (x) = - 49 - x^{2}

mi d p o in t (3, - 6), (7, 10)

cr i t i c a l 5 x (x - 2)

in v erse f (x) = (7 - x)^{\frac{1}{4}}

What is the domain of f(x)=(2x+7)/(x^2-7x+10) ?
The domain of f(x)=(2x+7)/(x^2-7x+10) is x<2\lor 2<x<5\lor x>5