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Popular >

p(z)=9z^2-3z

Solution

p (z) = 9 z^{2} - 3 z

Solution

Domain : - \infty < z < \infty

Range : f (z) \geq - \frac{1}{4}

X Intercepts : (\frac{1}{3}, 0), (0, 0), Y Intercepts : (0, 0)

Vertex : Minimum (\frac{1}{6}, - \frac{1}{4})

Inverse : \frac{1 + 4 z + 1}{6}, \frac{1 - 4 z + 1}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{4}, \infty)

Solution steps

Domain of

9 z^{2} - 3 z : - \infty < z < \infty

Range of

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

Axis interception points of

9 z^{2} - 3 z :

X Intercepts

: (\frac{1}{3}, 0), (0, 0),

Y Intercepts

: (0, 0)

Vertex of

9 z^{2} - 3 z :

Minimum

(\frac{1}{6}, - \frac{1}{4})

Inverse of

9 z^{2} - 3 z : \frac{1 + 4 z + 1}{6}, \frac{1 - 4 z + 1}{6}

Popular Examples

f(x)=5x^5+8x^4-4x^3-2x+3

f (x) = 5 x^{5} + 8 x^{4} - 4 x^{3} - 2 x + 3

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

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

f(x)=|-12+(7x^3)|

f (x) = - 12 + (7 x^{3})

h (x) = 28 + 4

y=(x^2+x^3+2x)/x

y = \frac{x ^{2} + x ^{3} + 2 x}{x}

Frequently Asked Questions (FAQ)

What is the p(z)=9z^2-3z ?
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