What is the f(y)=5y^2-45y+9 ?

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f(y)=5y^2-45y+9

f (y) = 5 y^{2} - 45 y + 9

Domain : - \infty < y < \infty

Range : f (y) \geq - \frac{369}{4}

X Intercepts : (\frac{45 + 3 205}{10}, 0), (\frac{45 - 3 205}{10}, 0), Y Intercepts : (0, 9)

Inverse : \frac{45 + 20 y + 1845}{10}, \frac{45 - 20 y + 1845}{10}

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{369}{4}, \infty)

Solution steps

Domain of

5 y^{2} - 45 y + 9 : - \infty < y < \infty

Range of

5 y^{2} - 45 y + 9 : f (y) \geq - \frac{369}{4}

Axis interception points of

5 y^{2} - 45 y + 9 :

X Intercepts

: (\frac{45 + 3 205}{10}, 0), (\frac{45 - 3 205}{10}, 0),

Y Intercepts

: (0, 9)

Inverse of

5 y^{2} - 45 y + 9 : \frac{45 + 20 y + 1845}{10}, \frac{45 - 20 y + 1845}{10}

f (x) = \frac{1}{3} \cdot x^{3} - \frac{5}{2} \cdot x^{2} + 4 x

f (x) = \frac{2}{x - 41}

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

f (x) = x^{4} - 14 x^{3} + 71 x^{2} - 154 x + 1200

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