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Popular >

y=3x^2-24x+41

Solution

y = 3 x^{2} - 24 x + 41

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 7

X Intercepts : (\frac{12 + 21}{3}, 0), (\frac{12 - 21}{3}, 0), Y Intercepts : (0, 41)

Vertex : Minimum (4, - 7)

Inverse : \frac{24 + 12 x + 84}{6}, \frac{24 - 12 x + 84}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 7, \infty)

Solution steps

Domain of

3 x^{2} - 24 x + 41 : - \infty < x < \infty

Range of

3 x^{2} - 24 x + 41 : f (x) \geq - 7

Axis interception points of

3 x^{2} - 24 x + 41 :

X Intercepts

: (\frac{12 + 21}{3}, 0), (\frac{12 - 21}{3}, 0),

Y Intercepts

: (0, 41)

Vertex of

3 x^{2} - 24 x + 41 :

Minimum

(4, - 7)

Inverse of

3 x^{2} - 24 x + 41 : \frac{24 + 12 x + 84}{6}, \frac{24 - 12 x + 84}{6}

Popular Examples

y^{2} - 3 x + 4 y + 15 = 0

x = - 3 y^{2} + 8 y - 13

y^{2} = - 20 (x + 1)

x + \frac{1}{5} y^{2} = 0

(y+4)^2=-4(x-2)

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

Frequently Asked Questions (FAQ)

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