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Popular >

f(X)=3X^2-X-1

Solution

f (X) = 3 X^{2} - X - 1

Solution

Domain : - \infty < X < \infty

Range : f (X) \geq - \frac{13}{12}

X Intercepts : (\frac{1 + 13}{6}, 0), (\frac{1 - 13}{6}, 0), Y Intercepts : (0, - 1)

Vertex : Minimum (\frac{1}{6}, - \frac{13}{12})

Inverse : \frac{1 + 12 X + 13}{6}, \frac{1 - 12 X + 13}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{13}{12}, \infty)

Solution steps

Domain of

3 X^{2} - X - 1 : - \infty < X < \infty

Range of

3 X^{2} - X - 1 : f (X) \geq - \frac{13}{12}

Axis interception points of

3 X^{2} - X - 1 :

X Intercepts

: (\frac{1 + 13}{6}, 0), (\frac{1 - 13}{6}, 0),

Y Intercepts

: (0, - 1)

Vertex of

3 X^{2} - X - 1 :

Minimum

(\frac{1}{6}, - \frac{13}{12})

Inverse of

3 X^{2} - X - 1 : \frac{1 + 12 X + 13}{6}, \frac{1 - 12 X + 13}{6}

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Frequently Asked Questions (FAQ)

What is the f(X)=3X^2-X-1 ?
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