en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=4x^2-3x-1

Solution

f (x) = 4 x^{2} - 3 x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{25}{16}

X Intercepts : (1, 0), (- \frac{1}{4}, 0), Y Intercepts : (0, - 1)

Vertex : Minimum (\frac{3}{8}, - \frac{25}{16})

Inverse : \frac{3 + 16 x + 25}{8}, \frac{3 - 16 x + 25}{8}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{25}{16}, \infty)

Solution steps

Domain of

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

Range of

4 x^{2} - 3 x - 1 : f (x) \geq - \frac{25}{16}

Axis interception points of

4 x^{2} - 3 x - 1 :

X Intercepts

: (1, 0), (- \frac{1}{4}, 0),

Y Intercepts

: (0, - 1)

Vertex of

4 x^{2} - 3 x - 1 :

Minimum

(\frac{3}{8}, - \frac{25}{16})

Inverse of

4 x^{2} - 3 x - 1 : \frac{3 + 16 x + 25}{8}, \frac{3 - 16 x + 25}{8}

Popular Examples

f(x)=(x-3)/(x^2+x-12)

f (x) = \frac{x - 3}{x ^{2} + x - 12}

f(x)=(x^2-25)/(2x^2-17x+35)

f (x) = \frac{x ^{2} - 25}{2 x ^{2} - 17 x + 35}

f(x)=sqrt((x(3+x)-4)/(x^2-1))

f (x) = \frac{x ( 3 + x ) - 4}{x ^{2} - 1}

y = x^{2} - 64

36y^2=(x^2-4)^3,2<= x<= 3

36 y^{2} = (x^{2} - 4)^{3}, 2 \leq x \leq 3

Frequently Asked Questions (FAQ)

What is the f(x)=4x^2-3x-1 ?
The f(x)=4x^2-3x-1 is