Complex Algaebra, Plz Help!!

posted by Samantha

Good evening to all around the world.

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

1. Damon

What does (arrow) mean?

2. Samantha

If we can assume it means =

I think that is right

3. 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

4. Samantha

Sorry i wrote c wrong

its

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

really sorry, had less sleep last night

5. 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

6. Samantha

The composite function fg

thank you

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