What is the f(x)=((3x^{(2)}-x))/((3x-9)) ?

The f(x)=((3x^{(2)}-x))/((3x-9)) is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Domain : x < 3 or x > 3

Range : f (x) \leq - 42 + \frac{17}{3} or f (x) \geq 42 + \frac{17}{3}

X Intercepts : (\frac{1}{3}, 0), (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 3, Slant y = x + \frac{8}{3}

Extreme Points : Maximum (3 - 22, \frac{17 2 - 24}{3 2}), Minimum (3 + 22, \frac{24 + 17 2}{3 2})

Interval Notation

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

Range : (- \infty, - 42 + \frac{17}{3}] \cup [42 + \frac{17}{3}, \infty)

Solution steps

Domain of

\frac{3 x ^{2} - x}{3 x - 9} : x < 3 or x > 3

Range of

\frac{3 x ^{2} - x}{3 x - 9} : f (x) \leq - 42 + \frac{17}{3} or f (x) \geq 42 + \frac{17}{3}

Axis interception points of

\frac{3 x ^{2} - x}{3 x - 9} :

X Intercepts

: (\frac{1}{3}, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{3 x ^{2} - x}{3 x - 9} :

Vertical

: x = 3,

Slant

: y = x + \frac{8}{3}

Extreme Points of

\frac{3 x ^{2} - x}{3 x - 9} :

Maximum

(3 - 22, \frac{17 2 - 24}{3 2}),

Minimum

(3 + 22, \frac{24 + 17 2}{3 2})

f (x) = 5 sin^{2} (x) cos^{2} (x)

y = - 4 sin (5) (x - \frac{π}{4}) + 7

f (x) = 2 sin (x) + 2 cos (x)

f (x) = sin (\frac{2}{x}) + 1

f (n) = n^{2} - 16