en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

P(x)=3x^2-x-1

Solution

P (x) = 3 x^{2} - x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{13}{12}

X Intercepts : (\frac{1 + 13}{6}, 0), (\frac{1 - 13}{6}, 0), Y Intercepts : (0, - 1)

Vertex : Minimum (\frac{1}{6}, - \frac{13}{12})

Inverse : \frac{1 + 12 x + 13}{6}, \frac{1 - 12 x + 13}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{13}{12}, \infty)

Solution steps

Domain of

3 x^{2} - x - 1 : - \infty < x < \infty

Range of

3 x^{2} - x - 1 : f (x) \geq - \frac{13}{12}

Axis interception points of

3 x^{2} - x - 1 :

X Intercepts

: (\frac{1 + 13}{6}, 0), (\frac{1 - 13}{6}, 0),

Y Intercepts

: (0, - 1)

Vertex of

3 x^{2} - x - 1 :

Minimum

(\frac{1}{6}, - \frac{13}{12})

Inverse of

3 x^{2} - x - 1 : \frac{1 + 12 x + 13}{6}, \frac{1 - 12 x + 13}{6}

Popular Examples

f(x)= 5/(3-x)+(sqrt(25-x^2-9))/(3-|x-2|)

f (x) = \frac{5}{3 - x} + \frac{25 - x ^{2} - 9}{3 - ∣ x - 2 ∣}

y = x^{3} - 3 x (2.2)

f(x)=\sqrt[3]{x^2-2x+6}

y=-5cos(pi/(16)x)-4

y = - 5 cos (\frac{π}{16} x) - 4

f(x)=(2x-6)/(-x+4)

f (x) = \frac{2 x - 6}{- x + 4}

Frequently Asked Questions (FAQ)

What is the P(x)=3x^2-x-1 ?
The P(x)=3x^2-x-1 is