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Answer:
The solution is .
Step-by-step explanation:
Complex power is determined by means of the De Moivre's Theorem, whose expression is:
Where is the norm of the complex number. In this case, expression can be written as:
The real component must be equal to zero and complex component must be equal to -1. That is to say:
Possible solutions for each component are, respectively:
Real component
,
,
Possible solutions: ,
,
Complex component
,
,
Possible solutions: ,
There is one solution whose argument is strictly between 180 degrees () and 270 degrees (
).
The function can be expressed as a rational function is .
We have to determine
Which of the following is written as a rational function?
According to the question
A rational function is a function that can be expressed as the quotient or ratio of two polynomial functions, where the polynomial in the denominator must have a degree of at least 1.
A rational function can be expressed as;
Then,
The required rational function is expressed as;
Where p(x) is (x-5) and g(x) is 3x.
Therefore,
The function is,
Hence, the function can be expressed as a rational function is .
To know more about Rational Function click the link given below.