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Popular >

f(x)=3x^2+12x+8

Solution

f (x) = 3 x^{2} + 12 x + 8

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 4

X Intercepts : (\frac{2 ( 3 - 3 )}{3}, 0), (- \frac{2 ( 3 + 3 )}{3}, 0), Y Intercepts : (0, 8)

Vertex : Minimum (- 2, - 4)

Inverse : \frac{- 12 + 12 x + 48}{6}, \frac{- 12 - 12 x + 48}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, \infty)

Solution steps

Domain of

3 x^{2} + 12 x + 8 : - \infty < x < \infty

Range of

3 x^{2} + 12 x + 8 : f (x) \geq - 4

Axis interception points of

3 x^{2} + 12 x + 8 :

X Intercepts

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

Y Intercepts

: (0, 8)

Vertex of

3 x^{2} + 12 x + 8 :

Minimum

(- 2, - 4)

Inverse of

3 x^{2} + 12 x + 8 : \frac{- 12 + 12 x + 48}{6}, \frac{- 12 - 12 x + 48}{6}

Popular Examples

y = x - 6

y = 4 x^{2} + 7 x - 19

f(x)=log_{10}(3x+6)

f (x) = lo g_{10} (3 x + 6)

y = - 4 (x + 2)^{2} - 1

f(k)=12k^3-30k^4

f (k) = 12 k^{3} - 30 k^{4}

Frequently Asked Questions (FAQ)

What is the f(x)=3x^2+12x+8 ?
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