Mathematics
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                         OpenStudy (anonymous):
                        OpenStudy (anonymous):
                         Simplify, step by step please:    [(1/(x+h)^3) - (1/x^3)] / 15h
                        
                     
                    
                    
                    
                    
                    
    
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 OpenStudy (anonymous):
OpenStudy (anonymous):
this is horrid...
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
Agreed.
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
are you talking about my question domian and range
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
you have not given a function there prodgers
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
 the domain andrange  of f (-2) of f(1)
 
    
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 OpenStudy (anonymous):
OpenStudy (anonymous):
for this one you need to make a common denominator for x^3 and (x+h)^3
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
so what would be the answer I am so confused with this mess. I have not taken this kind  of mathe in 20 yrs
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
\[(x^3 - (x+h)^3 )/(x^3 * (x+h)^3)\]
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
prodgers2, go back to your question and look at what I typed....
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
so is that the range or the donmain
 
    
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 OpenStudy (anonymous):
OpenStudy (anonymous):
by the way is this for a limit?
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
Nope, no limit 
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
and the above is still divided by 15h
(x+h)^3=x^3+3x^2h+3xh^3+h^3
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
so the x^3 will cancel
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
and the h too
 
    
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 OpenStudy (anonymous):
OpenStudy (anonymous):
\[(3x^2+3xh+h^2)/(15(x^3 * (x+h)^3)\]
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
oh no, there is a minus sign in front of this
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
yes and it is asking to write the answer in interval notation
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
and I dont see how you can simplify it further
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
\[[(1/(x+h)^3) - (1/x^3)] / 15h = 0 \] ???
 
    
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 OpenStudy (anonymous):
OpenStudy (anonymous):
Yes
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
akiroso is that the range or domain?
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
prodgers2, it's neither, this is not your problem.
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
okkie dookie
 
 OpenStudy (anonymous):
OpenStudy (anonymous):
THANKS ANDRAS!!! XD