SOLUTION: f(x)= 1/x-2, g(x) = 3/x Find f(g(x)) and g(f(x)). Also state the domain

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Question 1095012: f(x)= 1/x-2, g(x) = 3/x
Find f(g(x)) and g(f(x)). Also state the domain

Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.
Your formula is ambiguous and unreadable without using parentheses.

     Is it   1/(x-2)    or   (1/x)-2  ??

Use parentheses to make your formulas readable and unambiguous.


Use parentheses when you post your formulas to this forum.


It is the  REQUIREMENT  of this site.


There is  NO OTHER WAY  to make them readable and unambiguous.


By  violating  this  RULE,  you work  against yourself  and  against your better interests.


With it,  welcome to the forum !!


---------------
I repeat this mantra to each and every new visitor coming to this forum,
until he or she will take it seriously.
---------------

    Once upon the time, when I sent this message to some customer/"student"/visitor, he responded me (through the "Thank you" form),
    asking why he (or she ?) should use parentheses when his source (textbook, teacher's assignment sheet and so on)
    does not contain these parentheses ?

Good question !

     The answer is: That sources have TYPOGRAPHY MEANS to represent the fractions, writing them in two levels /
     numerators and denominators, divided by horizontal lines.

     Such typography tools ABSENT in this forum, THEREFORE the customers SHOULD write parentheses to present numerators and denominators
     explicitly.


Hope this explanation makes this issue absolutely clear.



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