Question 1131866
Given f(x)=|x| and g(x)=18/x^2+9, find the expressions.
<pre>
I won't use your numbers, but other numbers so that you can use them as
examples to go by:

Notice also that there is a HUGE difference between 18/x^2+9 and 18/(x^2+9).
If you don't put parentheses around x^2+9, then the +9 is NOT part of
the denominator.  If you want +9 to be part of the denominator, then
you MUST place the entire denominator within parentheses.  That is,

18/x^2+9 means {{{matrix(1,3,18/x^2,""+"",9)}}} and 18/(x^2+9) means {{{18/(x^2+9)}}}.

Which one did you mean for g(x)???? I will assume you meant the first one.
If no then do them using the second one, and remember to put parentheses
around entire denominators if the contain more than 1 number or 1 letter.

Edwin</pre>


#1.  (f o g)(5)= {{{matrix(1,12,
f(g(5)^""),
""="", 
f(matrix(1,3,18/5^2,""+"",9^"")),
""="",
f(matrix(1,3,18/25,""+"",9)),
f(matrix(1,3,18/25,""+"",225/25)),
""="", 
f(243/25),
""="", 
abs(243/25),
""="",
243/25)
}}}

#2.  (g o f)(3)={{{matrix(1,13,
g(f(3)^""),
""="", 
g(abs(3)),
""="",
g(3),
""="",
matrix(1,3,18/3^2,""+"",9),
""="", 
18/9+9,
""="", 
2+9,
""="",
11)
}}}

#3.  (f o f)(2)={{{matrix(1,8,
f(f(2)^""),
""="", 
f(abs(3)),
""="",
f(3),
""="",
abs(3),
3)
}}}

#4. (g o g)(4) = {{{matrix(1,23,
g(g(4)^""),
""="", 
g(matrix(1,3,18/4^2,""+"",9^"")),
""="",
g(matrix(1,3,18/16,""+"",9)),
""="",
g(matrix(1,3,18/16,""+"",144/16)),
""="", 
g(162/16),
""="", 
g(81/8),
""="",
matrix(1,3,18/(81/8)^2,""+"",9^""),
""="",
matrix(1,3,18/(6561/64),""+"",9^""),
""="",
matrix(1,3,18*(64/6561),""+"",9),
""="",
matrix(1,3,1152/6465,""+"",9),
""="", 
matrix(1,3,1152/6465,""+"",58185/6465),
""="",
59337/6465)

}}}