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Popular Functions >

f(x)=4x^2+12x+3

Solution

f (x) = 4 x^{2} + 12 x + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 6

X Intercepts : (\frac{- 3 + 6}{2}, 0), (- \frac{3 + 6}{2}, 0), Y Intercepts : (0, 3)

Vertex : Minimum (- \frac{3}{2}, - 6)

Inverse : \frac{- 3 + x + 6}{2}, - \frac{x + 6 + 3}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 6, \infty)

Solution steps

Domain of

4 x^{2} + 12 x + 3 : - \infty < x < \infty

Range of

4 x^{2} + 12 x + 3 : f (x) \geq - 6

Axis interception points of

4 x^{2} + 12 x + 3 :

X Intercepts

: (\frac{- 3 + 6}{2}, 0), (- \frac{3 + 6}{2}, 0),

Y Intercepts

: (0, 3)

Vertex of

4 x^{2} + 12 x + 3 :

Minimum

(- \frac{3}{2}, - 6)

Inverse of

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

Graph

Popular Examples

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perpendicular 2x+y=4,(1,2)

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slope ofintercept y-3x=19

range of (x-2)^2+1

Frequently Asked Questions (FAQ)

What is the f(x)=4x^2+12x+3 ?
The f(x)=4x^2+12x+3 is