Science:Math Exam Resources/Courses/MATH110/December 2014/Question 01 (a)
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Question 01 (a) 

Give an example of a function whose domain is all real numbers except and . 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Consider rational functions. 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Recall that a rational function of the form , where and are polynomials, has domain Since we want to exclude and , it is enough to find a polynomial such that . The easiest choice of such polynomial is . For the simplicity, if we choose , we have as a possible answer. 