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Popular >

f(x)=6x^2+4x-5

Solution

f (x) = 6 x^{2} + 4 x - 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{17}{3}

X Intercepts : (\frac{- 2 + 34}{6}, 0), (- \frac{2 + 34}{6}, 0), Y Intercepts : (0, - 5)

Vertex : Minimum (- \frac{1}{3}, - \frac{17}{3})

Inverse : \frac{- 4 + 24 x + 136}{12}, \frac{- 4 - 24 x + 136}{12}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{17}{3}, \infty)

Solution steps

Domain of

6 x^{2} + 4 x - 5 : - \infty < x < \infty

Range of

6 x^{2} + 4 x - 5 : f (x) \geq - \frac{17}{3}

Axis interception points of

6 x^{2} + 4 x - 5 :

X Intercepts

: (\frac{- 2 + 34}{6}, 0), (- \frac{2 + 34}{6}, 0),

Y Intercepts

: (0, - 5)

Vertex of

6 x^{2} + 4 x - 5 :

Minimum

(- \frac{1}{3}, - \frac{17}{3})

Inverse of

6 x^{2} + 4 x - 5 : \frac{- 4 + 24 x + 136}{12}, \frac{- 4 - 24 x + 136}{12}

Popular Examples

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y = - 2 (x - 1) (x + 4)

y=(arctan(3x))^2

y = (arctan (3 x))^{2}

Frequently Asked Questions (FAQ)

What is the f(x)=6x^2+4x-5 ?
The f(x)=6x^2+4x-5 is