Functions

A

anchovy

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Hi, I did all of these problems already, but can someone check them for me.
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Quite a list of laundry, there … have you tried anything with any of these?

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skeeter said:
Quite a list of laundry, there … have you tried anything with any of these?

Recommend you check out the rules for posting.

READ BEFORE POSTING

Welcome to FreeMathHelp.com! Please take the time to read the following before you make your first post. It will help you to get your math questions answered promptly and in the most helpful manner. A summary is available here, but please read the complete guidelines below at your earliest...
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I've tried all of them, the answer under them is what I got.
 
The ones I could do in my head are all correct except for the last one!

Hint: a fraction is not always = 0 when the numerator = 0
 
\(\displaystyle f(x) = 3 + \frac{8}{x - 1}\)

How did you get \(\displaystyle y = 3\)? Can you show me your steps?
 
Jomo said:
The ones I could do in my head are all correct except for the last one!

Hint: a fraction is not always = 0 when the numerator = 0
Click to expand...
The last one is tricky. I would do this before trying to find the zeros.

\(\displaystyle f(x) = \frac{x^3 - 1}{x^2 + x - 2} = \frac{(x - 1)(x^2 + x + 1)}{(x - 1)(x + 2)}\)
 
I don't think that it is tricky. A fraction equals 0 if the numerator is 0 and the denominator is not 0. Never, and I mean never, say that a fraction equals 0 just because the numerator is zero. If you do so, then you're asking for trouble.
I understand that many students would say that a fraction equals 0 when the numerator equals 0 but simply is not always true.
 
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