en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(-3x+3)/(x^2-6x+5)

Solution

f (x) = \frac{- 3 x + 3}{x ^{2} - 6 x + 5}

Solution

Domain : x < 1 or 1 < x < 5 or x > 5

Range : f (x) < 0 or 0 < f (x) < \frac{3}{4} or f (x) > \frac{3}{4}

Y Intercepts : (0, \frac{3}{5})

Asymptotes : Vertical x = 5, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 1) \cup (1, 5) \cup (5, \infty)

Range : (- \infty, 0) \cup (0, \frac{3}{4}) \cup (\frac{3}{4}, \infty)

Solution steps

Domain of

\frac{- 3 x + 3}{x ^{2} - 6 x + 5} : x < 1 or 1 < x < 5 or x > 5

Range of

\frac{- 3 x + 3}{x ^{2} - 6 x + 5} : f (x) < 0 or 0 < f (x) < \frac{3}{4} or f (x) > \frac{3}{4}

Axis interception points of

\frac{- 3 x + 3}{x ^{2} - 6 x + 5} :

Y Intercepts

: (0, \frac{3}{5})

Asymptotes of

\frac{- 3 x + 3}{x ^{2} - 6 x + 5} :

Vertical

: x = 5,

Horizontal

: y = 0

Extreme Points of

\frac{- 3 x + 3}{x ^{2} - 6 x + 5} :

None

Popular Examples

y=e^{2x}+e^{-2x}

y = e^{2 x} + e^{- 2 x}

f(x)=(x^2-6x+9)/(x^3-7x^2)

f (x) = \frac{x ^{2} - 6 x + 9}{x ^{3} - 7 x ^{2}}

f(x)= 1/(4x^2-9)

f (x) = \frac{1}{4 x ^{2} - 9}

y=(x^4+48)/(24x)

y = \frac{x ^{4} + 48}{24 x}

y = 2 x^{2} + 8 x + 16

Frequently Asked Questions (FAQ)

What is the f(x)=(-3x+3)/(x^2-6x+5) ?
The f(x)=(-3x+3)/(x^2-6x+5) is