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Popular Functions >

f(x)=x^2-9x+6

Solution

f (x) = x^{2} - 9 x + 6

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{57}{4}

X Intercepts : (\frac{9 + 57}{2}, 0), (\frac{9 - 57}{2}, 0), Y Intercepts : (0, 6)

Vertex : Minimum (\frac{9}{2}, - \frac{57}{4})

Inverse : \frac{9 + 4 x + 57}{2}, \frac{9 - 4 x + 57}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{57}{4}, \infty)

Solution steps

Domain of

x^{2} - 9 x + 6 : - \infty < x < \infty

Range of

x^{2} - 9 x + 6 : f (x) \geq - \frac{57}{4}

Axis interception points of

x^{2} - 9 x + 6 :

X Intercepts

: (\frac{9 + 57}{2}, 0), (\frac{9 - 57}{2}, 0),

Y Intercepts

: (0, 6)

Vertex of

x^{2} - 9 x + 6 :

Minimum

(\frac{9}{2}, - \frac{57}{4})

Inverse of

x^{2} - 9 x + 6 : \frac{9 + 4 x + 57}{2}, \frac{9 - 4 x + 57}{2}

Graph

Popular Examples

h(t)=-4.9t^2+19.6t-9.6

f(x)=x^3+2x^2-5x-10

f(x)=(7x(x-3))/(14x^2(x-3))

f(x)=(10)/(x^2-7x-30)

Frequently Asked Questions (FAQ)

What is the f(x)=x^2-9x+6 ?
The f(x)=x^2-9x+6 is