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Popular >

f(z)=z^2+6z+4

Solution

f (z) = z^{2} + 6 z + 4

Solution

Domain : - \infty < z < \infty

Range : f (z) \geq - 5

X Intercepts : (- 3 + 5, 0), (- 3 - 5, 0), Y Intercepts : (0, 4)

Vertex : Minimum (- 3, - 5)

Inverse : - 3 + z + 5, - z + 5 - 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, \infty)

Solution steps

Domain of

z^{2} + 6 z + 4 : - \infty < z < \infty

Range of

z^{2} + 6 z + 4 : f (z) \geq - 5

Axis interception points of

z^{2} + 6 z + 4 :

X Intercepts

: (- 3 + 5, 0), (- 3 - 5, 0),

Y Intercepts

: (0, 4)

Vertex of

z^{2} + 6 z + 4 :

Minimum

(- 3, - 5)

Inverse of

z^{2} + 6 z + 4 : - 3 + z + 5, - z + 5 - 3

Popular Examples

f(x)=5(x^4-x)^7

f (x) = 5 (x^{4} - x)^{7}

f(x)=(sin(x))/(x-pi)

f (x) = \frac{sin ( x )}{x - π}

f(n)=5^{2n-3}-5^{2n-1}+25^{n-1}

f (n) = 5^{2 n - 3} - 5^{2 n - 1} + 2 5^{n - 1}

y = tan (x + 1)

f (x) = ln (5 x + 2)

Frequently Asked Questions (FAQ)

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