en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(3x^2-8x+4)/(x^2)

Solution

f (x) = \frac{3 x ^{2} - 8 x + 4}{x ^{2}}

Solution

Domain : x < 0 or x > 0

Range : f (x) \geq - 1

X Intercepts : (2, 0), (\frac{2}{3}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 3

Extreme Points : Minimum (1, - 1)

+1

Interval Notation

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

Range : [- 1, \infty)

Solution steps

Domain of

\frac{3 x ^{2} - 8 x + 4}{x ^{2}} : x < 0 or x > 0

Range of

\frac{3 x ^{2} - 8 x + 4}{x ^{2}} : f (x) \geq - 1

Axis interception points of

\frac{3 x ^{2} - 8 x + 4}{x ^{2}} :

X Intercepts

: (2, 0), (\frac{2}{3}, 0)

Asymptotes of

\frac{3 x ^{2} - 8 x + 4}{x ^{2}} :

Vertical

: x = 0,

Horizontal

: y = 3

Extreme Points of

\frac{3 x ^{2} - 8 x + 4}{x ^{2}} :

Minimum

(1, - 1)

Popular Examples

f (x) = x^{5} + 3 x - 5

f(x)=sqrt(x^4+4)

f (x) = x^{4} + 4

f(t)=(sin^2(t))/(t^2)

f (t) = \frac{sin ^{2} ( t )}{t ^{2}}

f(x)= 1/3 x^3+1/2 x^2-2x

f (x) = \frac{1}{3} x^{3} + \frac{1}{2} x^{2} - 2 x

f (x) = 5 tan (5 x)

Frequently Asked Questions (FAQ)

What is the f(x)=(3x^2-8x+4)/(x^2) ?
The f(x)=(3x^2-8x+4)/(x^2) is