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Popular >

f(x)=6x^2+24x-3

Solution

f (x) = 6 x^{2} + 24 x - 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 27

X Intercepts : (\frac{- 4 + 3 2}{2}, 0), (- \frac{4 + 3 2}{2}, 0), Y Intercepts : (0, - 3)

Vertex : Minimum (- 2, - 27)

Inverse : \frac{- 24 + 24 x + 648}{12}, \frac{- 24 - 24 x + 648}{12}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 27, \infty)

Solution steps

Domain of

6 x^{2} + 24 x - 3 : - \infty < x < \infty

Range of

6 x^{2} + 24 x - 3 : f (x) \geq - 27

Axis interception points of

6 x^{2} + 24 x - 3 :

X Intercepts

: (\frac{- 4 + 3 2}{2}, 0), (- \frac{4 + 3 2}{2}, 0),

Y Intercepts

: (0, - 3)

Vertex of

6 x^{2} + 24 x - 3 :

Minimum

(- 2, - 27)

Inverse of

6 x^{2} + 24 x - 3 : \frac{- 24 + 24 x + 648}{12}, \frac{- 24 - 24 x + 648}{12}

Popular Examples

f(y)=sqrt(-y+20)

f (y) = - y + 20

f (x) = 10 - 3 x^{3}

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

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

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

h(t)=arcsin(2t)

h (t) = arcsin (2 t)

Frequently Asked Questions (FAQ)

What is the f(x)=6x^2+24x-3 ?
The f(x)=6x^2+24x-3 is