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Popular >

U(x)=-3x^2+450x-875

Solution

U (x) = - 3 x^{2} + 450 x - 875

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 16000

X Intercepts : (\frac{5 ( 45 - 8 30 )}{3}, 0), (\frac{5 ( 45 + 8 30 )}{3}, 0), Y Intercepts : (0, - 875)

Vertex : Maximum (75, 16000)

Inverse : - \frac{- 450 + - 12 x + 192000}{6}, - \frac{- 450 - - 12 x + 192000}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 16000]

Solution steps

Domain of

- 3 x^{2} + 450 x - 875 : - \infty < x < \infty

Range of

- 3 x^{2} + 450 x - 875 : f (x) \leq 16000

Axis interception points of

- 3 x^{2} + 450 x - 875 :

X Intercepts

: (\frac{5 ( 45 - 8 30 )}{3}, 0), (\frac{5 ( 45 + 8 30 )}{3}, 0),

Y Intercepts

: (0, - 875)

Vertex of

- 3 x^{2} + 450 x - 875 :

Maximum

(75, 16000)

Inverse of

- 3 x^{2} + 450 x - 875 : - \frac{- 450 + - 12 x + 192000}{6}, - \frac{- 450 - - 12 x + 192000}{6}

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Frequently Asked Questions (FAQ)

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