en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(x^2-x-30)/(x^2-25)

Solution

f (x) = \frac{x ^{2} - x - 30}{x ^{2} - 25}

Solution

Domain : x < - 5 or - 5 < x < 5 or x > 5

Range : f (x) < 1 or 1 < f (x) < \frac{11}{10} or f (x) > \frac{11}{10}

X Intercepts : (6, 0), Y Intercepts : (0, \frac{6}{5})

Asymptotes : Vertical x = 5, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 5) \cup (- 5, 5) \cup (5, \infty)

Range : (- \infty, 1) \cup (1, \frac{11}{10}) \cup (\frac{11}{10}, \infty)

Solution steps

Domain of

\frac{x ^{2} - x - 30}{x ^{2} - 25} : x < - 5 or - 5 < x < 5 or x > 5

Range of

\frac{x ^{2} - x - 30}{x ^{2} - 25} : f (x) < 1 or 1 < f (x) < \frac{11}{10} or f (x) > \frac{11}{10}

Axis interception points of

\frac{x ^{2} - x - 30}{x ^{2} - 25} :

X Intercepts

: (6, 0),

Y Intercepts

: (0, \frac{6}{5})

Asymptotes of

\frac{x ^{2} - x - 30}{x ^{2} - 25} :

Vertical

: x = 5,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - x - 30}{x ^{2} - 25} :

None

Popular Examples

q(x)=csc(x)(sin(x)+tan(x))-1

q (x) = csc (x) (sin (x) + tan (x)) - 1

f(x)=sqrt(-9+6x-x^2)

f (x) = - 9 + 6 x - x^{2}

f(x)=(x^2+x-2)/(x^2-x-2)

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

f(x)=4-tan(x^2+1)

f (x) = 4 - tan (x^{2} + 1)

f(x)=(sqrt(1-x))/(x^2-1)

f (x) = \frac{1 - x}{x ^{2} - 1}

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-x-30)/(x^2-25) ?
The f(x)=(x^2-x-30)/(x^2-25) is