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Popular >

g(x)=4x^2+12x-16

Solution

g (x) = 4 x^{2} + 12 x - 16

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 25

X Intercepts : (1, 0), (- 4, 0), Y Intercepts : (0, - 16)

Vertex : Minimum (- \frac{3}{2}, - 25)

Inverse : \frac{- 3 + x + 25}{2}, - \frac{x + 25 + 3}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 25, \infty)

Solution steps

Domain of

4 x^{2} + 12 x - 16 : - \infty < x < \infty

Range of

4 x^{2} + 12 x - 16 : f (x) \geq - 25

Axis interception points of

4 x^{2} + 12 x - 16 :

X Intercepts

: (1, 0), (- 4, 0),

Y Intercepts

: (0, - 16)

Vertex of

4 x^{2} + 12 x - 16 :

Minimum

(- \frac{3}{2}, - 25)

Inverse of

4 x^{2} + 12 x - 16 : \frac{- 3 + x + 25}{2}, - \frac{x + 25 + 3}{2}

Popular Examples

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f (x) = 6 x^{2} - 13 x + 5

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f (x) = 2 x^{2} + 16 x + 29

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Frequently Asked Questions (FAQ)

What is the g(x)=4x^2+12x-16 ?
The g(x)=4x^2+12x-16 is