en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=(x^2-25)/(x^2-x-20)

Solution

y = \frac{x ^{2} - 25}{x ^{2} - x - 20}

Solution

Domain : x < - 4 or - 4 < x < 5 or x > 5

Range : f (x) < 1 or 1 < f (x) < \frac{10}{9} or f (x) > \frac{10}{9}

X Intercepts : (- 5, 0), Y Intercepts : (0, \frac{5}{4})

Asymptotes : Vertical x = - 4, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, 5) \cup (5, \infty)

Range : (- \infty, 1) \cup (1, \frac{10}{9}) \cup (\frac{10}{9}, \infty)

Solution steps

Domain of

\frac{x ^{2} - 25}{x ^{2} - x - 20} : x < - 4 or - 4 < x < 5 or x > 5

Range of

\frac{x ^{2} - 25}{x ^{2} - x - 20} : f (x) < 1 or 1 < f (x) < \frac{10}{9} or f (x) > \frac{10}{9}

Axis interception points of

\frac{x ^{2} - 25}{x ^{2} - x - 20} :

X Intercepts

: (- 5, 0),

Y Intercepts

: (0, \frac{5}{4})

Asymptotes of

\frac{x ^{2} - 25}{x ^{2} - x - 20} :

Vertical

: x = - 4,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 25}{x ^{2} - x - 20} :

None

Popular Examples

f(x)=sin(x),0<= x<= pi

f (x) = sin (x), 0 \leq x \leq π

y=(x+1)(x-2)(x-4)

y = (x + 1) (x - 2) (x - 4)

y = 2 x e^{- x}

f (x) = \frac{x - 2}{4}

f(x)=log_{2}(x^4-3x)

f (x) = lo g_{2} (x^{4} - 3 x)

Frequently Asked Questions (FAQ)

What is the y=(x^2-25)/(x^2-x-20) ?
The y=(x^2-25)/(x^2-x-20) is