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+x+9

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{109}{12}

X Intercepts : (- \frac{- 1 + 109}{6}, 0), (\frac{1 + 109}{6}, 0), Y Intercepts : (0, 9)

Vertex : Maximum (\frac{1}{6}, \frac{109}{12})

Inverse : - \frac{- 1 + - 12 x + 109}{6}, - \frac{- 1 - - 12 x + 109}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{109}{12}]

Solution steps

Domain of

- 3 x^{2} + x + 9 : - \infty < x < \infty

Range of

- 3 x^{2} + x + 9 : f (x) \leq \frac{109}{12}

Axis interception points of

- 3 x^{2} + x + 9 :

X Intercepts

: (- \frac{- 1 + 109}{6}, 0), (\frac{1 + 109}{6}, 0),

Y Intercepts

: (0, 9)

Vertex of

- 3 x^{2} + x + 9 :

Maximum

(\frac{1}{6}, \frac{109}{12})

Inverse of

- 3 x^{2} + x + 9 : - \frac{- 1 + - 12 x + 109}{6}, - \frac{- 1 - - 12 x + 109}{6}

Popular Examples

5 x^{2} + 3 x + k (x) = 0

y + 1 = x (x + 4)

(y+2)+3=(x+1)^2

(y + 2) + 3 = (x + 1)^{2}

(x-4)^2=12(y+2)

(x - 4)^{2} = 12 (y + 2)

x^{2} + (y - 5) 2 = 25

Frequently Asked Questions (FAQ)

What is the f(x)=-3x^2+x+9 ?
The f(x)=-3x^2+x+9 is