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Popular >

f(x)=9x^2+8x-12

Solution

f (x) = 9 x^{2} + 8 x - 12

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{124}{9}

X Intercepts : (\frac{2 ( 31 - 2 )}{9}, 0), (- \frac{2 ( 2 + 31 )}{9}, 0), Y Intercepts : (0, - 12)

Vertex : Minimum (- \frac{4}{9}, - \frac{124}{9})

Inverse : \frac{- 4 + 9 x + 124}{9}, - \frac{9 x + 124 + 4}{9}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{124}{9}, \infty)

Solution steps

Domain of

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

Range of

9 x^{2} + 8 x - 12 : f (x) \geq - \frac{124}{9}

Axis interception points of

9 x^{2} + 8 x - 12 :

X Intercepts

: (\frac{2 ( 31 - 2 )}{9}, 0), (- \frac{2 ( 2 + 31 )}{9}, 0),

Y Intercepts

: (0, - 12)

Vertex of

9 x^{2} + 8 x - 12 :

Minimum

(- \frac{4}{9}, - \frac{124}{9})

Inverse of

9 x^{2} + 8 x - 12 : \frac{- 4 + 9 x + 124}{9}, - \frac{9 x + 124 + 4}{9}

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f (x) = 5 x^{2} + 56 x + 45

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Frequently Asked Questions (FAQ)

What is the f(x)=9x^2+8x-12 ?
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