en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(3x^2-15x)/(4x^2+4x)

Solution

f (x) = \frac{3 x ^{2} - 15 x}{4 x ^{2} + 4 x}

Solution

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

Range : f (x) < - \frac{15}{4} or - \frac{15}{4} < f (x) < \frac{3}{4} or f (x) > \frac{3}{4}

X Intercepts : (5, 0)

Asymptotes : Vertical x = - 1, Horizontal y = \frac{3}{4}

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, - \frac{15}{4}) \cup (- \frac{15}{4}, \frac{3}{4}) \cup (\frac{3}{4}, \infty)

Solution steps

Domain of

\frac{3 x ^{2} - 15 x}{4 x ^{2} + 4 x} : x < - 1 or - 1 < x < 0 or x > 0

Range of

\frac{3 x ^{2} - 15 x}{4 x ^{2} + 4 x} : f (x) < - \frac{15}{4} or - \frac{15}{4} < f (x) < \frac{3}{4} or f (x) > \frac{3}{4}

Axis interception points of

\frac{3 x ^{2} - 15 x}{4 x ^{2} + 4 x} :

X Intercepts

: (5, 0)

Asymptotes of

\frac{3 x ^{2} - 15 x}{4 x ^{2} + 4 x} :

Vertical

: x = - 1,

Horizontal

: y = \frac{3}{4}

Extreme Points of

\frac{3 x ^{2} - 15 x}{4 x ^{2} + 4 x} :

None

Popular Examples

y = cot (3 x)

domain of f(x)=4x^5+2x^2-x-23 domain

f (x) = 4 x^{5} + 2 x^{2} - x - 23

y=-x^3+2x^2-2x+4

y = - x^{3} + 2 x^{2} - 2 x + 4

domain of y=cos(sqrt(x))domain

y = cos (x)

y = 2 x - 5

Frequently Asked Questions (FAQ)

What is the f(x)=(3x^2-15x)/(4x^2+4x) ?
The f(x)=(3x^2-15x)/(4x^2+4x) is