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Quandaries & Queries
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 Topic: domain of a function
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 The inverse of y = x(x - 2) 2016-12-21 From Sasha:Hello, I recently stumbled upon this question and I haven't been able to figure it out. Why is the inverse of y=x(x-2) not a function? Suggest a domain restriction which would ensure that the inverse is a function. Thank You :)Answered by Penny Nom. The domain and range of a function 2016-02-19 From Genius:State the domain and range g(x)=x(x-1)Answered by Penny Nom. The range of a function with a finite domain 2016-01-25 From Hannah:Solve y=(1⁄4)x-1 if the domain is (-4,-2,0,2,4). I don't get how to do this. Can anyone help?Answered by Penny Nom. What is the domain of f(x)=sin(ln(x))/ln(x)? 2013-02-06 From Behrooz:Hi, the following problem may be interesting: What is the domain of f(x)=sin(ln(x))/ln(x)? Be careful, domain is not obvious. Best regards BehroozAnswered by Penny Nom. Domain of a function 2002-07-20 From Andy:I'm having difficulty in finding the domain of 1/(x2 -2x + 4) one over x squared minus 2 x plus 4. Answered by Penny Nom. An equation involving x to the x 2000-07-22 From Joy Peter: I am joy, a teacher teaching Maths at the secondary level and while solving a sum came to this stage when i got xx (1 + log x) = 0, by which we can conclude that xx = 0 or 1 + log x = 0. If xx = 0, than what should be the value of x? I feel that the value of x should then be 0 (zero) but then how do I explain this to the students as we also know that anything to the power of 0 is 1 but here 0 raised to 0 is 1. If this is not defined then how do I explain this?Answered by Penny Nom. The Range of a Function. 1997-09-12 From Karel Marek:Math Is Book 6 (Ebos/Tuck) question 5(b) gives a surprising answer at the back of the book..The question is:Indicate the domain and range for this: y = sqr(x-9) (Square root of) The answer for the domain is x>=9 which is not surprisingly, but the range is y>=0, yER ... which I could understand if you were not allowed to transform the equation into x as the subject.. But all example on the facing page DO TRANSFORM the equation at will with x and/or y as the subject..Can you explain this... ??Answered by Chris Fisher.

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