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Popular >

Find the Roots (Zeros) f(x)=9x^2-54x-19

Solution

f (x) = 9 x^{2} - 54 x - 19

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 100

X Intercepts : (\frac{19}{3}, 0), (- \frac{1}{3}, 0), Y Intercepts : (0, - 19)

Vertex : Minimum (3, - 100)

Inverse : \frac{9 + x + 100}{3}, \frac{9 - x + 100}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 100, \infty)

Solution steps

Domain of

9 x^{2} - 54 x - 19 : - \infty < x < \infty

Range of

9 x^{2} - 54 x - 19 : f (x) \geq - 100

Axis interception points of

9 x^{2} - 54 x - 19 :

X Intercepts

: (\frac{19}{3}, 0), (- \frac{1}{3}, 0),

Y Intercepts

: (0, - 19)

Vertex of

9 x^{2} - 54 x - 19 :

Minimum

(3, - 100)

Inverse of

9 x^{2} - 54 x - 19 : \frac{9 + x + 100}{3}, \frac{9 - x + 100}{3}

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Frequently Asked Questions (FAQ)

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