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eimsori [14]
2 years ago
6

HELP ME PLEASE !!!! ill be marking brainliest

Mathematics
1 answer:
RUDIKE [14]2 years ago
5 0

Using the concepts of even and odd functions, the points that will be contained in the function are given as follows:

  • Even: (-2,-5).
  • Odd: (-2,5).

<h3>What are even and odd functions?</h3>

Even and odd functions both have relationships between f(x) and f(-x), as follows:

  • For even functions, f(-x) = f(x).
  • For odd functions, f(-x) = -f(x).

This function contains point (2,-5), that is, f(2) = -5, hence:

  • For an even function, f(-2) = -5, hence it contains point (-2, -5).
  • For an odd function, f(-2) = 5, hence it contains point (-2, 5).

More can be learned about even and odd functions at brainly.com/question/24410059

#SPJ1

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Answer:

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Data provided in the question:

a = −1 + √3i and b = 2

to prove:

\frac{1}{a+b}=\frac{1}{a} + \frac{1}{b}

Considering the LHS

⇒ \frac{1}{a+b}

substituting the value of a and b, we get

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or

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we get

\frac{1}{1 + \sqrt3i}\times\frac{1 - \sqrt3i}{1 - \sqrt3i}

or

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or

\frac{1 - \sqrt3i}{1 + 3}              (as (√i)² = -1 )

or

\frac{1 - \sqrt3i}{4}

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considering the RHS

\frac{1}{a} + \frac{1}{b}

substituting the value of a and b, we get

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⇒ \frac{2\times1 + ( -1 + \sqrt3i)\times1}{(-1 + \sqrt3i)\times2}

or

⇒ \frac{2 + ( -1 + \sqrt3i)}{(-1 + \sqrt3i)\times2}

or

⇒ \frac{1 + \sqrt3i}{(-1 + \sqrt3i)\times2}

now,

on multiplying and dividing by conjugate ( -1 - √3i )

we get

\frac{1 + \sqrt3i}{(−1 + \sqrt3i)\times2}\times\frac{-1 - \sqrt3i}{-1 - \sqrt3i}

or

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\frac{-2( 1 - 2\sqrt3i)\times(-1)}{(4)\times2}

or

\frac{( 1 - 2\sqrt3i)}{(4)}

Since, LHS = RHS

hence satisfied

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