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Popular >

y=6x^2-17x+12

Solution

y = 6 x^{2} - 17 x + 12

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{24}

X Intercepts : (\frac{3}{2}, 0), (\frac{4}{3}, 0), Y Intercepts : (0, 12)

Vertex : Minimum (\frac{17}{12}, - \frac{1}{24})

Inverse : \frac{17 + 24 x + 1}{12}, \frac{17 - 24 x + 1}{12}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{24}, \infty)

Solution steps

Domain of

6 x^{2} - 17 x + 12 : - \infty < x < \infty

Range of

6 x^{2} - 17 x + 12 : f (x) \geq - \frac{1}{24}

Axis interception points of

6 x^{2} - 17 x + 12 :

X Intercepts

: (\frac{3}{2}, 0), (\frac{4}{3}, 0),

Y Intercepts

: (0, 12)

Vertex of

6 x^{2} - 17 x + 12 :

Minimum

(\frac{17}{12}, - \frac{1}{24})

Inverse of

6 x^{2} - 17 x + 12 : \frac{17 + 24 x + 1}{12}, \frac{17 - 24 x + 1}{12}

Popular Examples

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f(x)=2x^3+3x^2+18x+27

f (x) = 2 x^{3} + 3 x^{2} + 18 x + 27

f(x)=(2x^5-3x+4)^4

f (x) = (2 x^{5} - 3 x + 4)^{4}

Frequently Asked Questions (FAQ)

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