SOLUTION: given the function of f(x)=z^2-z-6/z^2+z-12 a. solve it using the quadratic formular. b. find the domain.

Question 308838: given the function of f(x)=z^2-z-6/z^2+z-12
a. solve it using the quadratic formular.
b. find the domain.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Where did you ever get the idea that you could 'solve' a function?

What would possess you to use the quadratic formula on a rational function?

What is a "formular"?

The domain of a function is the set of independent variable values for which the function is defined. For rational functions it is generally the set of all real numbers EXCEPT those numbers that would cause the denominator to go to zero. So, the process is to set the denominator expression equal to zero and solve for all values of the independent variable that satisfy the equation. In this case, given that you have a second degree polynomial expression in your denominator, setting it equal to zero gives you a quadratic equation. NOW you could, if you really want, use the quadratic formula. I wouldn't recommend it in this case because your given denominator is so easily factorable.

Hence, the original rational function is undefined for

and

Therefore the domain, in set builder notation is

John

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