en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(x^2-16)/(x^3-5x^2+4x)

Solution

f (x) = \frac{x ^{2} - 16}{x ^{3} - 5 x ^{2} + 4 x}

Solution

Domain : x < 0 or 0 < x < 1 or 1 < x < 4 or x > 4

Range : f (x) \leq - 45 - 9 or f (x) \geq 45 - 9

X Intercepts : (- 4, 0)

Asymptotes : Vertical x = 0, x = 1, Horizontal y = 0

Extreme Points : Minimum (- 2 (2 + 5), - 9 + 45), Maximum (2 (5 - 2), - 45 - 9)

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, 1) \cup (1, 4) \cup (4, \infty)

Range : (- \infty, - 45 - 9] \cup [45 - 9, \infty)

Solution steps

Domain of

\frac{x ^{2} - 16}{x ^{3} - 5 x ^{2} + 4 x} : x < 0 or 0 < x < 1 or 1 < x < 4 or x > 4

Range of

\frac{x ^{2} - 16}{x ^{3} - 5 x ^{2} + 4 x} : f (x) \leq - 45 - 9 or f (x) \geq 45 - 9

Axis interception points of

\frac{x ^{2} - 16}{x ^{3} - 5 x ^{2} + 4 x} :

X Intercepts

: (- 4, 0)

Asymptotes of

\frac{x ^{2} - 16}{x ^{3} - 5 x ^{2} + 4 x} :

Vertical

: x = 0, x = 1,

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2} - 16}{x ^{3} - 5 x ^{2} + 4 x} :

Minimum

(- 2 (2 + 5), - 9 + 45),

Maximum

(2 (5 - 2), - 45 - 9)

Popular Examples

f(x)= 2/3 cos(4x+(8pi)/3)

f (x) = \frac{2}{3} cos (4 x + \frac{8 π}{3})

S = (n - 2) 180

f(x)=x^3+ax^2+9x-2

f (x) = x^{3} + a x^{2} + 9 x - 2

y = (\frac{1}{7})^{x}

g(x)=(x^2)/(x-1)

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

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-16)/(x^3-5x^2+4x) ?
The f(x)=(x^2-16)/(x^3-5x^2+4x) is