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Alborosie
3 years ago
14

Is the following relation a function? (1 point) yes no

Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

Answer:

yes I believe it is a function

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<img src="https://tex.z-dn.net/?f=z%20%3D%203%20%2B%20i%20%5C%5C%20%7Bz%7D%5E%7B5%7D%20%3D%20" id="TexFormula1" title="z = 3 + i
jarptica [38.1K]

Answer:

z^{5} =  - 12 + 316 i

Step-by-step explanation:

Given that -

z = 3 + i

<em>z^{2} = ( 3 + i )^{2}</em>

<em>z^{2} = 9 + i^{2} + 6 i</em>

<em>z^{2} = 9 - 1 + 6 i</em>

z^{2} = 8 + 6 i

<em>z^{3} = z^{2} × z</em>

<em>z^{3} = ( 8 + 6 i ) × ( 3 + i )</em>

<em>z^{3} = 24 + 8 i + 18 i + 6 i²</em>

<em>z^{3} = 24 + 26 i - 6</em>

z^{3} = 18 + 26 i

z^{5} = z^{2} × z^{3}

<em>z^{5} = ( 8 + 6 i ) × ( 18 + 26 i )</em>

<em>z^{5} = 144 + 208 i + 108 i + 156 i²</em>

<em>z^{5} = 144 + 316 i -156</em>

z^{5} =  - 12 + 316 i

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