Complex Algaebra, Plz Help!!
posted by Samantha
Good evening to all around the world.
Need help with this question, however i must show my answers supported by the working out. Please help.
This question is difficult, the one who solves it for me is my hero!!!!
Q11)
Two functions f and g are defined by
F:x (arrow) 25/(3x2)
g:x (arrow) x^2
Find
a) The inverse function f1
b)The composite function fg
c) The solution of equation fg(x)+2/(x1).
Please show me how to work it out so i understand. Thank you!!!!! x

Damon
What does (arrow) mean?

Samantha
If we can assume it means =
I think that is right 
Damon
y = 25/(3x2)
find inverse
x = 25/(3y2)
3 x y  2 x = 25
3 x y = (2x  25)
y = (2x25)/3x
f(x^2) = 25/(3x^22)
c is not an equation, no = sign
so no solution 
Samantha
Sorry i wrote c wrong
its
the solution of equation fg(x)=2/(x1)
really sorry, had less sleep last night 
Damon
25/(3x^22) = 2/(x1)
25(x1) = 6 x^2  4
25 x  25 = 6 x^2  4
6x^2 25 x +21 = 0
(6x7)(x3) = 0
x = 3 or 7/6 
Samantha
Could you ellaborate further on how you got your answer for b please Damon.
The composite function fg
thank you
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