en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : x < 0 or 0 < x < 3 or x > 3

Range : f (x) \leq - \frac{16}{9} or f (x) > 0

Intercepts : None

Asymptotes : Vertical x = 0, x = 3, Horizontal y = 0

Extreme Points : Maximum (\frac{3}{2}, - \frac{16}{9})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, 3) \cup (3, \infty)

Range : (- \infty, - \frac{16}{9}] \cup (0, \infty)

Solution steps

Domain of

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

Range of

\frac{4}{x ^{2} - 3 x} : f (x) \leq - \frac{16}{9} or f (x) > 0

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0, x = 3,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(\frac{3}{2}, - \frac{16}{9})

Popular Examples

f (x) = (x - 5)^{2} + 1

f (x) = - x^{2} + 14 x

y=log_{10}(sqrt(x))

y = lo g_{10} (x)

y=log_{10}((x^2+1)^2)

y = lo g_{10} ((x^{2} + 1)^{2})

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

Frequently Asked Questions (FAQ)

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