What is the f(x)=sqrt(3)x^2+11x+6sqrt(3) ?

The f(x)=sqrt(3)x^2+11x+6sqrt(3) is

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f(x)=sqrt(3)x^2+11x+6sqrt(3)

f (x) = 3 x^{2} + 11 x + 63

Domain : - \infty < x < \infty

Range : f (x) \geq 63 - \frac{121}{4 3}

X Intercepts : (- \frac{2}{3}, 0), (- 33, 0), Y Intercepts : (0, 63)

Inverse : \frac{3 ( - 11 + 4 3 x + 49 )}{6}, \frac{3 ( - 11 - 4 3 x + 49 )}{6}

Interval Notation

Domain : (- \infty, \infty)

Range : [63 - \frac{121}{4 3}, \infty)

Solution steps

Domain of

3 x^{2} + 11 x + 63 : - \infty < x < \infty

Range of

3 x^{2} + 11 x + 63 : f (x) \geq 63 - \frac{121}{4 3}

Axis interception points of

3 x^{2} + 11 x + 63 :

X Intercepts

: (- \frac{2}{3}, 0), (- 33, 0),

Y Intercepts

: (0, 63)

Inverse of

3 x^{2} + 11 x + 63 : \frac{3 ( - 11 + 4 3 x + 49 )}{6}, \frac{3 ( - 11 - 4 3 x + 49 )}{6}

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f (y) = e^{y} - e^{- y}