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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 9

X Intercepts : (1 + 3, 0), (1 - 3, 0), Y Intercepts : (0, - 6)

Vertex : Minimum (1, - 9)

Inverse : \frac{6 + 12 x + 108}{6}, \frac{6 - 12 x + 108}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 9, \infty)

Solution steps

Domain of

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

Range of

3 x^{2} - 6 x - 6 : f (x) \geq - 9

Axis interception points of

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

X Intercepts

: (1 + 3, 0), (1 - 3, 0),

Y Intercepts

: (0, - 6)

Vertex of

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

Minimum

(1, - 9)

Inverse of

3 x^{2} - 6 x - 6 : \frac{6 + 12 x + 108}{6}, \frac{6 - 12 x + 108}{6}

Popular Examples

y = sin (x + a)

f (x) = 9 x^{2} + 5 x - 1

f (t) = t^{2} - 2 t + 3

f (- 1) = - 5 x + 2

f (x) = cos (1 - x)

Frequently Asked Questions (FAQ)

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