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Popular >

f(z)=z^2+6z+1

Solution

f (z) = z^{2} + 6 z + 1

Solution

Domain : - \infty < z < \infty

Range : f (z) \geq - 8

X Intercepts : (- 3 + 22, 0), (- 3 - 22, 0), Y Intercepts : (0, 1)

Vertex : Minimum (- 3, - 8)

Inverse : - 3 + z + 8, - z + 8 - 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 8, \infty)

Solution steps

Domain of

z^{2} + 6 z + 1 : - \infty < z < \infty

Range of

z^{2} + 6 z + 1 : f (z) \geq - 8

Axis interception points of

z^{2} + 6 z + 1 :

X Intercepts

: (- 3 + 22, 0), (- 3 - 22, 0),

Y Intercepts

: (0, 1)

Vertex of

z^{2} + 6 z + 1 :

Minimum

(- 3, - 8)

Inverse of

z^{2} + 6 z + 1 : - 3 + z + 8, - z + 8 - 3

Popular Examples

b(t)=((t)1200)/(1+39e^{-0)0.9t}

b (t) = \frac{( t ) 1200}{1 + 39 e ^{- 0} 0.9 t}

p(x)=6x^4+5x^3+3x^2-3x+2

p (x) = 6 x^{4} + 5 x^{3} + 3 x^{2} - 3 x + 2

f(m)=m^2+21m+109

f (m) = m^{2} + 21 m + 109

y=-0.3x^2+18x-100

y = - 0.3 x^{2} + 18 x - 100

x = 2 t^{3} + 4 t^{2} + t

Frequently Asked Questions (FAQ)

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