Asked 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/(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
Answered by Damon
What does (arrow) mean?
Answered by Samantha
If we can assume it means =

I think that is right
Answered by Damon
y = 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
Answered by Samantha
Sorry i wrote c wrong

its

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

really sorry, had less sleep last night


Answered by Damon
25/(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
Answered by 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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