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Popular >

f(x)=-3x^2+12x-11

Solution

f (x) = - 3 x^{2} + 12 x - 11

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1

X Intercepts : (\frac{6 - 3}{3}, 0), (\frac{6 + 3}{3}, 0), Y Intercepts : (0, - 11)

Vertex : Maximum (2, 1)

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 1]

Solution steps

Domain of

- 3 x^{2} + 12 x - 11 : - \infty < x < \infty

Range of

- 3 x^{2} + 12 x - 11 : f (x) \leq 1

Axis interception points of

- 3 x^{2} + 12 x - 11 :

X Intercepts

: (\frac{6 - 3}{3}, 0), (\frac{6 + 3}{3}, 0),

Y Intercepts

: (0, - 11)

Vertex of

- 3 x^{2} + 12 x - 11 :

Maximum

(2, 1)

Inverse of

- 3 x^{2} + 12 x - 11 : - \frac{- 12 + - 12 x + 12}{6}, - \frac{- 12 - - 12 x + 12}{6}

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Frequently Asked Questions (FAQ)

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