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Posted by **Samantha** on Wednesday, December 19, 2012 at 1:45pm.

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/(3x-2)

g:x (arrow) x^2

Find

a) The inverse function f-1

b)The composite function fg

c) The solution of equation fg(x)+2/(x-1).

Please show me how to work it out so i understand. Thank you!!!!! x

- sorry, do not understand notation -
**Damon**, Wednesday, December 19, 2012 at 2:09pmWhat does (arrow) mean?

- Complex Algaebra, Plz Help!! -
**Samantha**, Wednesday, December 19, 2012 at 2:13pmIf we can assume it means =

I think that is right

- Complex Algaebra, Plz Help!! -
**Damon**, Wednesday, December 19, 2012 at 2:34pmy = 25/(3x-2)

find inverse

x = 25/(3y-2)

3 x y - 2 x = 25

3 x y = (2x - 25)

y = (2x-25)/3x

f(x^2) = 25/(3x^2-2)

c is not an equation, no = sign

so no solution

- Complex Algaebra, Plz Help!! -
**Samantha**, Wednesday, December 19, 2012 at 3:15pmSorry i wrote c wrong

its

the solution of equation fg(x)=2/(x-1)

really sorry, had less sleep last night

- Complex Algaebra, Plz Help!! -
**Damon**, Wednesday, December 19, 2012 at 3:37pm25/(3x^2-2) = 2/(x-1)

25(x-1) = 6 x^2 - 4

25 x - 25 = 6 x^2 - 4

6x^2 -25 x +21 = 0

(6x-7)(x-3) = 0

x = 3 or 7/6

- Complex Algaebra, Plz Help!! -
**Samantha**, Wednesday, December 19, 2012 at 4:17pmCould you ellaborate further on how you got your answer for b please Damon.

The composite function fg

thank you

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