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Popular >

f(x)=3x^2+x-10

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{121}{12}

X Intercepts : (\frac{5}{3}, 0), (- 2, 0), Y Intercepts : (0, - 10)

Vertex : Minimum (- \frac{1}{6}, - \frac{121}{12})

Inverse : \frac{- 1 + 12 x + 121}{6}, \frac{- 1 - 12 x + 121}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{121}{12}, \infty)

Solution steps

Domain of

3 x^{2} + x - 10 : - \infty < x < \infty

Range of

3 x^{2} + x - 10 : f (x) \geq - \frac{121}{12}

Axis interception points of

3 x^{2} + x - 10 :

X Intercepts

: (\frac{5}{3}, 0), (- 2, 0),

Y Intercepts

: (0, - 10)

Vertex of

3 x^{2} + x - 10 :

Minimum

(- \frac{1}{6}, - \frac{121}{12})

Inverse of

3 x^{2} + x - 10 : \frac{- 1 + 12 x + 121}{6}, \frac{- 1 - 12 x + 121}{6}

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Frequently Asked Questions (FAQ)

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