What is the f(x)=sqrt(3)*x^2+5x+2sqrt(3) ?

The f(x)=sqrt(3)*x^2+5x+2sqrt(3) is

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f(x)=sqrt(3)*x^2+5x+2sqrt(3)

f (x) = 3 \cdot x^{2} + 5 x + 23

Domain : - \infty < x < \infty

Range : f (x) \geq 23 - \frac{25}{4 3}

X Intercepts : (- \frac{2}{3}, 0), (- 3, 0), Y Intercepts : (0, 23)

Inverse : \frac{3 ( - 5 + 4 3 x + 1 )}{6}, \frac{3 ( - 5 - 4 3 x + 1 )}{6}

Interval Notation

Domain : (- \infty, \infty)

Range : [23 - \frac{25}{4 3}, \infty)

Solution steps

Domain of

3 \cdot x^{2} + 5 x + 23 : - \infty < x < \infty

Range of

3 \cdot x^{2} + 5 x + 23 : f (x) \geq 23 - \frac{25}{4 3}

Axis interception points of

3 \cdot x^{2} + 5 x + 23 :

X Intercepts

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

Y Intercepts

: (0, 23)

Inverse of

3 \cdot x^{2} + 5 x + 23 : \frac{3 ( - 5 + 4 3 x + 1 )}{6}, \frac{3 ( - 5 - 4 3 x + 1 )}{6}

f (t) = sinh^{3} (t)

y = \frac{( 2 x + 5 )}{( 3 x - 2 )}

f (x) = 5 x^{3} + 10 x^{2} + 3 x - 4

f (z) = \frac{z}{4}

2 x^{3} - 2 x^{2}