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Popular >

f(x)=3x^2-9x+1

Solution

f (x) = 3 x^{2} - 9 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{23}{4}

X Intercepts : (\frac{9 + 69}{6}, 0), (\frac{9 - 69}{6}, 0), Y Intercepts : (0, 1)

Vertex : Minimum (\frac{3}{2}, - \frac{23}{4})

Inverse : \frac{9 + 12 x + 69}{6}, \frac{9 - 12 x + 69}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{23}{4}, \infty)

Solution steps

Domain of

3 x^{2} - 9 x + 1 : - \infty < x < \infty

Range of

3 x^{2} - 9 x + 1 : f (x) \geq - \frac{23}{4}

Axis interception points of

3 x^{2} - 9 x + 1 :

X Intercepts

: (\frac{9 + 69}{6}, 0), (\frac{9 - 69}{6}, 0),

Y Intercepts

: (0, 1)

Vertex of

3 x^{2} - 9 x + 1 :

Minimum

(\frac{3}{2}, - \frac{23}{4})

Inverse of

3 x^{2} - 9 x + 1 : \frac{9 + 12 x + 69}{6}, \frac{9 - 12 x + 69}{6}

Popular Examples

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f (k) = k^{2} + 14 k + 49

f(x)=3x^2+6x-72

f (x) = 3 x^{2} + 6 x - 72

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f(x)=(x+2)/(x+6)

f (x) = \frac{x + 2}{x + 6}

Frequently Asked Questions (FAQ)

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